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Finding the Fourth Proportional to 1,780.76, 2,455.20 and 1,150.22

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Solution

The fourth proportional to 1,780.76, 2,455.20 and 1,150.22 is: 1,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.76 : 2,455.20 = 1,150.22 : x
  2. Step 2: Convert to fraction form
    1,780.76/2,455.20 = 1,150.22/x
  3. Step 3: Cross multiply
    1,780.76x = 2,455.20 × 1,150.22
  4. Step 4: Simplify right side
    1,780.76x = 2,824,020.14
  5. Step 5: Solve for x
    x = 2,824,020.14/1,780.76
  6. Step 6: Final answer
    x = 1,585.85

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Half scale
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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.