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Finding the Fourth Proportional to 2,282.56, 3,149.92 and 1,234.63

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Solution

The fourth proportional to 2,282.56, 3,149.92 and 1,234.63 is: 1,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.56 : 3,149.92 = 1,234.63 : x
  2. Step 2: Convert to fraction form
    2,282.56/3,149.92 = 1,234.63/x
  3. Step 3: Cross multiply
    2,282.56x = 3,149.92 × 1,234.63
  4. Step 4: Simplify right side
    2,282.56x = 3,888,973.49
  5. Step 5: Solve for x
    x = 3,888,973.49/2,282.56
  6. Step 6: Final answer
    x = 1,703.77

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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.