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Finding the Fourth Proportional to 2,282.57, 3,149.96 and 1,234.64

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Solution

The fourth proportional to 2,282.57, 3,149.96 and 1,234.64 is: 1,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.57 : 3,149.96 = 1,234.64 : x
  2. Step 2: Convert to fraction form
    2,282.57/3,149.96 = 1,234.64/x
  3. Step 3: Cross multiply
    2,282.57x = 3,149.96 × 1,234.64
  4. Step 4: Simplify right side
    2,282.57x = 3,889,044.69
  5. Step 5: Solve for x
    x = 3,889,044.69/2,282.57
  6. Step 6: Final answer
    x = 1,703.80

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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.