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Finding the Fourth Proportional to 2,414.35, 3,618.64 and 1,244.92

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Solution

The fourth proportional to 2,414.35, 3,618.64 and 1,244.92 is: 1,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.35 : 3,618.64 = 1,244.92 : x
  2. Step 2: Convert to fraction form
    2,414.35/3,618.64 = 1,244.92/x
  3. Step 3: Cross multiply
    2,414.35x = 3,618.64 × 1,244.92
  4. Step 4: Simplify right side
    2,414.35x = 4,504,917.31
  5. Step 5: Solve for x
    x = 4,504,917.31/2,414.35
  6. Step 6: Final answer
    x = 1,865.89

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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.