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Finding the Fourth Proportional to 2,650.50, 3,658.67 and 2,275.97

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Solution

The fourth proportional to 2,650.50, 3,658.67 and 2,275.97 is: 3,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.50 : 3,658.67 = 2,275.97 : x
  2. Step 2: Convert to fraction form
    2,650.50/3,658.67 = 2,275.97/x
  3. Step 3: Cross multiply
    2,650.50x = 3,658.67 × 2,275.97
  4. Step 4: Simplify right side
    2,650.50x = 8,327,032.89
  5. Step 5: Solve for x
    x = 8,327,032.89/2,650.50
  6. Step 6: Final answer
    x = 3,141.69

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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.