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Finding the Fourth Proportional to 3,194.53, 4,792.40 and 1,115.13

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Solution

The fourth proportional to 3,194.53, 4,792.40 and 1,115.13 is: 1,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.53 : 4,792.40 = 1,115.13 : x
  2. Step 2: Convert to fraction form
    3,194.53/4,792.40 = 1,115.13/x
  3. Step 3: Cross multiply
    3,194.53x = 4,792.40 × 1,115.13
  4. Step 4: Simplify right side
    3,194.53x = 5,344,139.82
  5. Step 5: Solve for x
    x = 5,344,139.82/3,194.53
  6. Step 6: Final answer
    x = 1,672.90

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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.