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Finding the Fourth Proportional to 2,654.28, 3,665.16 and 2,516.68

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Solution

The fourth proportional to 2,654.28, 3,665.16 and 2,516.68 is: 3,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.28 : 3,665.16 = 2,516.68 : x
  2. Step 2: Convert to fraction form
    2,654.28/3,665.16 = 2,516.68/x
  3. Step 3: Cross multiply
    2,654.28x = 3,665.16 × 2,516.68
  4. Step 4: Simplify right side
    2,654.28x = 9,224,034.87
  5. Step 5: Solve for x
    x = 9,224,034.87/2,654.28
  6. Step 6: Final answer
    x = 3,475.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.