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Finding the Fourth Proportional to 2,231.87, 3,079.88 and 1,287.83

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Solution

The fourth proportional to 2,231.87, 3,079.88 and 1,287.83 is: 1,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.87 : 3,079.88 = 1,287.83 : x
  2. Step 2: Convert to fraction form
    2,231.87/3,079.88 = 1,287.83/x
  3. Step 3: Cross multiply
    2,231.87x = 3,079.88 × 1,287.83
  4. Step 4: Simplify right side
    2,231.87x = 3,966,361.86
  5. Step 5: Solve for x
    x = 3,966,361.86/2,231.87
  6. Step 6: Final answer
    x = 1,777.15

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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.