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Finding the Fourth Proportional to 2,407.69, 3,593.82 and 2,231.83

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Solution

The fourth proportional to 2,407.69, 3,593.82 and 2,231.83 is: 3,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.69 : 3,593.82 = 2,231.83 : x
  2. Step 2: Convert to fraction form
    2,407.69/3,593.82 = 2,231.83/x
  3. Step 3: Cross multiply
    2,407.69x = 3,593.82 × 2,231.83
  4. Step 4: Simplify right side
    2,407.69x = 8,020,766.16
  5. Step 5: Solve for x
    x = 8,020,766.16/2,407.69
  6. Step 6: Final answer
    x = 3,331.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.