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Finding the Fourth Proportional to 2,282.81, 3,150.28 and 1,234.87

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Solution

The fourth proportional to 2,282.81, 3,150.28 and 1,234.87 is: 1,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.81 : 3,150.28 = 1,234.87 : x
  2. Step 2: Convert to fraction form
    2,282.81/3,150.28 = 1,234.87/x
  3. Step 3: Cross multiply
    2,282.81x = 3,150.28 × 1,234.87
  4. Step 4: Simplify right side
    2,282.81x = 3,890,190.71
  5. Step 5: Solve for x
    x = 3,890,190.71/2,282.81
  6. Step 6: Final answer
    x = 1,704.12

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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.