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Finding the Fourth Proportional to 3,101.68, 4,654.86 and 1,641.16

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Solution

The fourth proportional to 3,101.68, 4,654.86 and 1,641.16 is: 2,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.68 : 4,654.86 = 1,641.16 : x
  2. Step 2: Convert to fraction form
    3,101.68/4,654.86 = 1,641.16/x
  3. Step 3: Cross multiply
    3,101.68x = 4,654.86 × 1,641.16
  4. Step 4: Simplify right side
    3,101.68x = 7,639,370.04
  5. Step 5: Solve for x
    x = 7,639,370.04/3,101.68
  6. Step 6: Final answer
    x = 2,462.98

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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.