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Finding the Fourth Proportional to 3,414.78, 4,713.24 and 2,088.24

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Solution

The fourth proportional to 3,414.78, 4,713.24 and 2,088.24 is: 2,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.78 : 4,713.24 = 2,088.24 : x
  2. Step 2: Convert to fraction form
    3,414.78/4,713.24 = 2,088.24/x
  3. Step 3: Cross multiply
    3,414.78x = 4,713.24 × 2,088.24
  4. Step 4: Simplify right side
    3,414.78x = 9,842,376.30
  5. Step 5: Solve for x
    x = 9,842,376.30/3,414.78
  6. Step 6: Final answer
    x = 2,882.29

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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.