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Finding the Fourth Proportional to 3,309.86, 4,567.49 and 1,983.69

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Solution

The fourth proportional to 3,309.86, 4,567.49 and 1,983.69 is: 2,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.86 : 4,567.49 = 1,983.69 : x
  2. Step 2: Convert to fraction form
    3,309.86/4,567.49 = 1,983.69/x
  3. Step 3: Cross multiply
    3,309.86x = 4,567.49 × 1,983.69
  4. Step 4: Simplify right side
    3,309.86x = 9,060,481.76
  5. Step 5: Solve for x
    x = 9,060,481.76/3,309.86
  6. Step 6: Final answer
    x = 2,737.42

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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.