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Finding the Fourth Proportional to 3,142.76, 4,715.34 and 1,169.60

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Solution

The fourth proportional to 3,142.76, 4,715.34 and 1,169.60 is: 1,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.76 : 4,715.34 = 1,169.60 : x
  2. Step 2: Convert to fraction form
    3,142.76/4,715.34 = 1,169.60/x
  3. Step 3: Cross multiply
    3,142.76x = 4,715.34 × 1,169.60
  4. Step 4: Simplify right side
    3,142.76x = 5,515,061.66
  5. Step 5: Solve for x
    x = 5,515,061.66/3,142.76
  6. Step 6: Final answer
    x = 1,754.85

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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.