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Finding the Fourth Proportional to 1,614.32, 2,405.92 and 1,581.92

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Solution

The fourth proportional to 1,614.32, 2,405.92 and 1,581.92 is: 2,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.32 : 2,405.92 = 1,581.92 : x
  2. Step 2: Convert to fraction form
    1,614.32/2,405.92 = 1,581.92/x
  3. Step 3: Cross multiply
    1,614.32x = 2,405.92 × 1,581.92
  4. Step 4: Simplify right side
    1,614.32x = 3,805,972.97
  5. Step 5: Solve for x
    x = 3,805,972.97/1,614.32
  6. Step 6: Final answer
    x = 2,357.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.