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Finding the Fourth Proportional to 2,494.62, 3,442.50 and 1,375.56

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Solution

The fourth proportional to 2,494.62, 3,442.50 and 1,375.56 is: 1,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.62 : 3,442.50 = 1,375.56 : x
  2. Step 2: Convert to fraction form
    2,494.62/3,442.50 = 1,375.56/x
  3. Step 3: Cross multiply
    2,494.62x = 3,442.50 × 1,375.56
  4. Step 4: Simplify right side
    2,494.62x = 4,735,365.30
  5. Step 5: Solve for x
    x = 4,735,365.30/2,494.62
  6. Step 6: Final answer
    x = 1,898.23

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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.