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Finding the Fourth Proportional to 2,654.57, 3,962.43 and 2,461.83

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Solution

The fourth proportional to 2,654.57, 3,962.43 and 2,461.83 is: 3,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.57 : 3,962.43 = 2,461.83 : x
  2. Step 2: Convert to fraction form
    2,654.57/3,962.43 = 2,461.83/x
  3. Step 3: Cross multiply
    2,654.57x = 3,962.43 × 2,461.83
  4. Step 4: Simplify right side
    2,654.57x = 9,754,829.05
  5. Step 5: Solve for x
    x = 9,754,829.05/2,654.57
  6. Step 6: Final answer
    x = 3,674.74

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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.