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Finding the Fourth Proportional to 2,354.16, 3,531.24 and 892.97

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Solution

The fourth proportional to 2,354.16, 3,531.24 and 892.97 is: 1,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.16 : 3,531.24 = 892.97 : x
  2. Step 2: Convert to fraction form
    2,354.16/3,531.24 = 892.97/x
  3. Step 3: Cross multiply
    2,354.16x = 3,531.24 × 892.97
  4. Step 4: Simplify right side
    2,354.16x = 3,153,273.73
  5. Step 5: Solve for x
    x = 3,153,273.73/2,354.16
  6. Step 6: Final answer
    x = 1,339.45

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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.