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Finding the Fourth Proportional to 2,414.78, 3,620.92 and 1,180.34

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Solution

The fourth proportional to 2,414.78, 3,620.92 and 1,180.34 is: 1,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.78 : 3,620.92 = 1,180.34 : x
  2. Step 2: Convert to fraction form
    2,414.78/3,620.92 = 1,180.34/x
  3. Step 3: Cross multiply
    2,414.78x = 3,620.92 × 1,180.34
  4. Step 4: Simplify right side
    2,414.78x = 4,273,916.71
  5. Step 5: Solve for x
    x = 4,273,916.71/2,414.78
  6. Step 6: Final answer
    x = 1,769.90

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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.