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Finding the Fourth Proportional to 3,126.53, 4,691.86 and 1,178.75

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Solution

The fourth proportional to 3,126.53, 4,691.86 and 1,178.75 is: 1,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.53 : 4,691.86 = 1,178.75 : x
  2. Step 2: Convert to fraction form
    3,126.53/4,691.86 = 1,178.75/x
  3. Step 3: Cross multiply
    3,126.53x = 4,691.86 × 1,178.75
  4. Step 4: Simplify right side
    3,126.53x = 5,530,538.76
  5. Step 5: Solve for x
    x = 5,530,538.76/3,126.53
  6. Step 6: Final answer
    x = 1,768.90

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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.