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Finding the Fourth Proportional to 3,182.77, 4,765.23 and 2,400.31

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Solution

The fourth proportional to 3,182.77, 4,765.23 and 2,400.31 is: 3,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.77 : 4,765.23 = 2,400.31 : x
  2. Step 2: Convert to fraction form
    3,182.77/4,765.23 = 2,400.31/x
  3. Step 3: Cross multiply
    3,182.77x = 4,765.23 × 2,400.31
  4. Step 4: Simplify right side
    3,182.77x = 11,438,029.22
  5. Step 5: Solve for x
    x = 11,438,029.22/3,182.77
  6. Step 6: Final answer
    x = 3,593.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.