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Finding the Fourth Proportional to 2,414.65, 3,619.17 and 1,113.38

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Solution

The fourth proportional to 2,414.65, 3,619.17 and 1,113.38 is: 1,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.65 : 3,619.17 = 1,113.38 : x
  2. Step 2: Convert to fraction form
    2,414.65/3,619.17 = 1,113.38/x
  3. Step 3: Cross multiply
    2,414.65x = 3,619.17 × 1,113.38
  4. Step 4: Simplify right side
    2,414.65x = 4,029,511.49
  5. Step 5: Solve for x
    x = 4,029,511.49/2,414.65
  6. Step 6: Final answer
    x = 1,668.78

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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.