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Finding the Fourth Proportional to 2,269.15, 3,403.61 and 1,332.61

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Solution

The fourth proportional to 2,269.15, 3,403.61 and 1,332.61 is: 1,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.15 : 3,403.61 = 1,332.61 : x
  2. Step 2: Convert to fraction form
    2,269.15/3,403.61 = 1,332.61/x
  3. Step 3: Cross multiply
    2,269.15x = 3,403.61 × 1,332.61
  4. Step 4: Simplify right side
    2,269.15x = 4,535,687.31
  5. Step 5: Solve for x
    x = 4,535,687.31/2,269.15
  6. Step 6: Final answer
    x = 1,998.85

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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.