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Finding the Fourth Proportional to 2,587.68, 3,866.40 and 2,496.96

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Solution

The fourth proportional to 2,587.68, 3,866.40 and 2,496.96 is: 3,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.68 : 3,866.40 = 2,496.96 : x
  2. Step 2: Convert to fraction form
    2,587.68/3,866.40 = 2,496.96/x
  3. Step 3: Cross multiply
    2,587.68x = 3,866.40 × 2,496.96
  4. Step 4: Simplify right side
    2,587.68x = 9,654,246.14
  5. Step 5: Solve for x
    x = 9,654,246.14/2,587.68
  6. Step 6: Final answer
    x = 3,730.85

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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.