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Finding the Fourth Proportional to 2,338.57, 3,227.34 and 1,454.66

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Solution

The fourth proportional to 2,338.57, 3,227.34 and 1,454.66 is: 2,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.57 : 3,227.34 = 1,454.66 : x
  2. Step 2: Convert to fraction form
    2,338.57/3,227.34 = 1,454.66/x
  3. Step 3: Cross multiply
    2,338.57x = 3,227.34 × 1,454.66
  4. Step 4: Simplify right side
    2,338.57x = 4,694,683.83
  5. Step 5: Solve for x
    x = 4,694,683.83/2,338.57
  6. Step 6: Final answer
    x = 2,007.50

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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.