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Finding the Fourth Proportional to 2,632.59, 3,949.38 and 877.73

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Solution

The fourth proportional to 2,632.59, 3,949.38 and 877.73 is: 1,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.59 : 3,949.38 = 877.73 : x
  2. Step 2: Convert to fraction form
    2,632.59/3,949.38 = 877.73/x
  3. Step 3: Cross multiply
    2,632.59x = 3,949.38 × 877.73
  4. Step 4: Simplify right side
    2,632.59x = 3,466,469.56
  5. Step 5: Solve for x
    x = 3,466,469.56/2,632.59
  6. Step 6: Final answer
    x = 1,316.75

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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.