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Finding the Fourth Proportional to 2,714.24, 4,086.08 and 2,432

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Solution

The fourth proportional to 2,714.24, 4,086.08 and 2,432 is: 3,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.24 : 4,086.08 = 2,432 : x
  2. Step 2: Convert to fraction form
    2,714.24/4,086.08 = 2,432/x
  3. Step 3: Cross multiply
    2,714.24x = 4,086.08 × 2,432
  4. Step 4: Simplify right side
    2,714.24x = 9,937,346.56
  5. Step 5: Solve for x
    x = 9,937,346.56/2,714.24
  6. Step 6: Final answer
    x = 3,661.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.