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Finding the Fourth Proportional to 1,776.76, 2,453.23 and 1,147.65

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Solution

The fourth proportional to 1,776.76, 2,453.23 and 1,147.65 is: 1,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.76 : 2,453.23 = 1,147.65 : x
  2. Step 2: Convert to fraction form
    1,776.76/2,453.23 = 1,147.65/x
  3. Step 3: Cross multiply
    1,776.76x = 2,453.23 × 1,147.65
  4. Step 4: Simplify right side
    1,776.76x = 2,815,443.67
  5. Step 5: Solve for x
    x = 2,815,443.67/1,776.76
  6. Step 6: Final answer
    x = 1,584.60

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,777.76, 2,454.61 and 1,148.65
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.