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Finding the Fourth Proportional to 2,414.85, 3,622.24 and 683.47

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Solution

The fourth proportional to 2,414.85, 3,622.24 and 683.47 is: 1,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.85 : 3,622.24 = 683.47 : x
  2. Step 2: Convert to fraction form
    2,414.85/3,622.24 = 683.47/x
  3. Step 3: Cross multiply
    2,414.85x = 3,622.24 × 683.47
  4. Step 4: Simplify right side
    2,414.85x = 2,475,693.91
  5. Step 5: Solve for x
    x = 2,475,693.91/2,414.85
  6. Step 6: Final answer
    x = 1,025.20

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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.