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Finding the Fourth Proportional to 1,950.50, 2,691.69 and 1,288.46

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Solution

The fourth proportional to 1,950.50, 2,691.69 and 1,288.46 is: 1,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.50 : 2,691.69 = 1,288.46 : x
  2. Step 2: Convert to fraction form
    1,950.50/2,691.69 = 1,288.46/x
  3. Step 3: Cross multiply
    1,950.50x = 2,691.69 × 1,288.46
  4. Step 4: Simplify right side
    1,950.50x = 3,468,134.90
  5. Step 5: Solve for x
    x = 3,468,134.90/1,950.50
  6. Step 6: Final answer
    x = 1,778.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.