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Finding the Fourth Proportional to 2,750.71, 4,121.61 and 1,288.66

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Solution

The fourth proportional to 2,750.71, 4,121.61 and 1,288.66 is: 1,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.71 : 4,121.61 = 1,288.66 : x
  2. Step 2: Convert to fraction form
    2,750.71/4,121.61 = 1,288.66/x
  3. Step 3: Cross multiply
    2,750.71x = 4,121.61 × 1,288.66
  4. Step 4: Simplify right side
    2,750.71x = 5,311,353.94
  5. Step 5: Solve for x
    x = 5,311,353.94/2,750.71
  6. Step 6: Final answer
    x = 1,930.90

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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.