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Finding the Fourth Proportional to 2,456.85, 3,686.31 and 995.64

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Solution

The fourth proportional to 2,456.85, 3,686.31 and 995.64 is: 1,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.85 : 3,686.31 = 995.64 : x
  2. Step 2: Convert to fraction form
    2,456.85/3,686.31 = 995.64/x
  3. Step 3: Cross multiply
    2,456.85x = 3,686.31 × 995.64
  4. Step 4: Simplify right side
    2,456.85x = 3,670,237.69
  5. Step 5: Solve for x
    x = 3,670,237.69/2,456.85
  6. Step 6: Final answer
    x = 1,493.88

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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.