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Finding the Fourth Proportional to 2,116.92, 3,174.24 and 1,180.14

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Solution

The fourth proportional to 2,116.92, 3,174.24 and 1,180.14 is: 1,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.92 : 3,174.24 = 1,180.14 : x
  2. Step 2: Convert to fraction form
    2,116.92/3,174.24 = 1,180.14/x
  3. Step 3: Cross multiply
    2,116.92x = 3,174.24 × 1,180.14
  4. Step 4: Simplify right side
    2,116.92x = 3,746,047.59
  5. Step 5: Solve for x
    x = 3,746,047.59/2,116.92
  6. Step 6: Final answer
    x = 1,769.57

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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.