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Finding the Fourth Proportional to 2,658.38, 3,989.09 and 2,515.87

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Solution

The fourth proportional to 2,658.38, 3,989.09 and 2,515.87 is: 3,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.38 : 3,989.09 = 2,515.87 : x
  2. Step 2: Convert to fraction form
    2,658.38/3,989.09 = 2,515.87/x
  3. Step 3: Cross multiply
    2,658.38x = 3,989.09 × 2,515.87
  4. Step 4: Simplify right side
    2,658.38x = 10,036,009.31
  5. Step 5: Solve for x
    x = 10,036,009.31/2,658.38
  6. Step 6: Final answer
    x = 3,775.23

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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.