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Finding the Fourth Proportional to 2,538.42, 3,808.03 and 1,151.70

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Solution

The fourth proportional to 2,538.42, 3,808.03 and 1,151.70 is: 1,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.42 : 3,808.03 = 1,151.70 : x
  2. Step 2: Convert to fraction form
    2,538.42/3,808.03 = 1,151.70/x
  3. Step 3: Cross multiply
    2,538.42x = 3,808.03 × 1,151.70
  4. Step 4: Simplify right side
    2,538.42x = 4,385,708.15
  5. Step 5: Solve for x
    x = 4,385,708.15/2,538.42
  6. Step 6: Final answer
    x = 1,727.73

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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.