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Finding the Fourth Proportional to 1,901.92, 2,856.66 and 1,172.92

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Solution

The fourth proportional to 1,901.92, 2,856.66 and 1,172.92 is: 1,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.92 : 2,856.66 = 1,172.92 : x
  2. Step 2: Convert to fraction form
    1,901.92/2,856.66 = 1,172.92/x
  3. Step 3: Cross multiply
    1,901.92x = 2,856.66 × 1,172.92
  4. Step 4: Simplify right side
    1,901.92x = 3,350,633.65
  5. Step 5: Solve for x
    x = 3,350,633.65/1,901.92
  6. Step 6: Final answer
    x = 1,761.71

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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.