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Finding the Fourth Proportional to 2,654.61, 3,962.81 and 2,462.37

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Solution

The fourth proportional to 2,654.61, 3,962.81 and 2,462.37 is: 3,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.61 : 3,962.81 = 2,462.37 : x
  2. Step 2: Convert to fraction form
    2,654.61/3,962.81 = 2,462.37/x
  3. Step 3: Cross multiply
    2,654.61x = 3,962.81 × 2,462.37
  4. Step 4: Simplify right side
    2,654.61x = 9,757,892.15
  5. Step 5: Solve for x
    x = 9,757,892.15/2,654.61
  6. Step 6: Final answer
    x = 3,675.83

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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.