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Finding the Fourth Proportional to 2,494.42, 3,743.08 and 935.52

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Solution

The fourth proportional to 2,494.42, 3,743.08 and 935.52 is: 1,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.42 : 3,743.08 = 935.52 : x
  2. Step 2: Convert to fraction form
    2,494.42/3,743.08 = 935.52/x
  3. Step 3: Cross multiply
    2,494.42x = 3,743.08 × 935.52
  4. Step 4: Simplify right side
    2,494.42x = 3,501,726.20
  5. Step 5: Solve for x
    x = 3,501,726.20/2,494.42
  6. Step 6: Final answer
    x = 1,403.82

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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.