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Finding the Fourth Proportional to 3,169.46, 4,753.42 and 1,194.95

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Solution

The fourth proportional to 3,169.46, 4,753.42 and 1,194.95 is: 1,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.46 : 4,753.42 = 1,194.95 : x
  2. Step 2: Convert to fraction form
    3,169.46/4,753.42 = 1,194.95/x
  3. Step 3: Cross multiply
    3,169.46x = 4,753.42 × 1,194.95
  4. Step 4: Simplify right side
    3,169.46x = 5,680,108.13
  5. Step 5: Solve for x
    x = 5,680,108.13/3,169.46
  6. Step 6: Final answer
    x = 1,792.14

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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.