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Finding the Fourth Proportional to 2,494.77, 3,442.51 and 1,375.63

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Solution

The fourth proportional to 2,494.77, 3,442.51 and 1,375.63 is: 1,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.77 : 3,442.51 = 1,375.63 : x
  2. Step 2: Convert to fraction form
    2,494.77/3,442.51 = 1,375.63/x
  3. Step 3: Cross multiply
    2,494.77x = 3,442.51 × 1,375.63
  4. Step 4: Simplify right side
    2,494.77x = 4,735,613.15
  5. Step 5: Solve for x
    x = 4,735,613.15/2,494.77
  6. Step 6: Final answer
    x = 1,898.22

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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.