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Finding the Fourth Proportional to 1,612.29, 2,412.96 and 1,248.71

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Solution

The fourth proportional to 1,612.29, 2,412.96 and 1,248.71 is: 1,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.29 : 2,412.96 = 1,248.71 : x
  2. Step 2: Convert to fraction form
    1,612.29/2,412.96 = 1,248.71/x
  3. Step 3: Cross multiply
    1,612.29x = 2,412.96 × 1,248.71
  4. Step 4: Simplify right side
    1,612.29x = 3,013,087.28
  5. Step 5: Solve for x
    x = 3,013,087.28/1,612.29
  6. Step 6: Final answer
    x = 1,868.82

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