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Finding the Fourth Proportional to 2,538.70, 3,808.10 and 1,151.78

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Solution

The fourth proportional to 2,538.70, 3,808.10 and 1,151.78 is: 1,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.70 : 3,808.10 = 1,151.78 : x
  2. Step 2: Convert to fraction form
    2,538.70/3,808.10 = 1,151.78/x
  3. Step 3: Cross multiply
    2,538.70x = 3,808.10 × 1,151.78
  4. Step 4: Simplify right side
    2,538.70x = 4,386,093.42
  5. Step 5: Solve for x
    x = 4,386,093.42/2,538.70
  6. Step 6: Final answer
    x = 1,727.69

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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.