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Finding the Fourth Proportional to 2,632.92, 3,950.19 and 1,902.75

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Solution

The fourth proportional to 2,632.92, 3,950.19 and 1,902.75 is: 2,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.92 : 3,950.19 = 1,902.75 : x
  2. Step 2: Convert to fraction form
    2,632.92/3,950.19 = 1,902.75/x
  3. Step 3: Cross multiply
    2,632.92x = 3,950.19 × 1,902.75
  4. Step 4: Simplify right side
    2,632.92x = 7,516,224.02
  5. Step 5: Solve for x
    x = 7,516,224.02/2,632.92
  6. Step 6: Final answer
    x = 2,854.71

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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.