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Finding the Fourth Proportional to 2,215.69, 3,323.67 and 828.99

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Solution

The fourth proportional to 2,215.69, 3,323.67 and 828.99 is: 1,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.69 : 3,323.67 = 828.99 : x
  2. Step 2: Convert to fraction form
    2,215.69/3,323.67 = 828.99/x
  3. Step 3: Cross multiply
    2,215.69x = 3,323.67 × 828.99
  4. Step 4: Simplify right side
    2,215.69x = 2,755,289.19
  5. Step 5: Solve for x
    x = 2,755,289.19/2,215.69
  6. Step 6: Final answer
    x = 1,243.54

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.