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Finding the Fourth Proportional to 2,414.71, 3,332.44 and 1,824.22

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Solution

The fourth proportional to 2,414.71, 3,332.44 and 1,824.22 is: 2,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.71 : 3,332.44 = 1,824.22 : x
  2. Step 2: Convert to fraction form
    2,414.71/3,332.44 = 1,824.22/x
  3. Step 3: Cross multiply
    2,414.71x = 3,332.44 × 1,824.22
  4. Step 4: Simplify right side
    2,414.71x = 6,079,103.70
  5. Step 5: Solve for x
    x = 6,079,103.70/2,414.71
  6. Step 6: Final answer
    x = 2,517.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.