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Finding the Fourth Proportional to 2,489.90, 3,710.62 and 2,414.84

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Solution

The fourth proportional to 2,489.90, 3,710.62 and 2,414.84 is: 3,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.90 : 3,710.62 = 2,414.84 : x
  2. Step 2: Convert to fraction form
    2,489.90/3,710.62 = 2,414.84/x
  3. Step 3: Cross multiply
    2,489.90x = 3,710.62 × 2,414.84
  4. Step 4: Simplify right side
    2,489.90x = 8,960,553.60
  5. Step 5: Solve for x
    x = 8,960,553.60/2,489.90
  6. Step 6: Final answer
    x = 3,598.76

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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.