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Finding the Fourth Proportional to 2,654.92, 3,981 and 923.16

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Solution

The fourth proportional to 2,654.92, 3,981 and 923.16 is: 1,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.92 : 3,981 = 923.16 : x
  2. Step 2: Convert to fraction form
    2,654.92/3,981 = 923.16/x
  3. Step 3: Cross multiply
    2,654.92x = 3,981 × 923.16
  4. Step 4: Simplify right side
    2,654.92x = 3,675,099.96
  5. Step 5: Solve for x
    x = 3,675,099.96/2,654.92
  6. Step 6: Final answer
    x = 1,384.26

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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.