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Finding the Fourth Proportional to 2,654.52, 3,981.57 and 923.14

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Solution

The fourth proportional to 2,654.52, 3,981.57 and 923.14 is: 1,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.52 : 3,981.57 = 923.14 : x
  2. Step 2: Convert to fraction form
    2,654.52/3,981.57 = 923.14/x
  3. Step 3: Cross multiply
    2,654.52x = 3,981.57 × 923.14
  4. Step 4: Simplify right side
    2,654.52x = 3,675,546.53
  5. Step 5: Solve for x
    x = 3,675,546.53/2,654.52
  6. Step 6: Final answer
    x = 1,384.64

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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.