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Finding the Fourth Proportional to 2,538.73, 3,499.77 and 1,948.24

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Solution

The fourth proportional to 2,538.73, 3,499.77 and 1,948.24 is: 2,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.73 : 3,499.77 = 1,948.24 : x
  2. Step 2: Convert to fraction form
    2,538.73/3,499.77 = 1,948.24/x
  3. Step 3: Cross multiply
    2,538.73x = 3,499.77 × 1,948.24
  4. Step 4: Simplify right side
    2,538.73x = 6,818,391.90
  5. Step 5: Solve for x
    x = 6,818,391.90/2,538.73
  6. Step 6: Final answer
    x = 2,685.75

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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.