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Finding the Fourth Proportional to 2,325.71, 3,209.67 and 1,277.97

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Solution

The fourth proportional to 2,325.71, 3,209.67 and 1,277.97 is: 1,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.71 : 3,209.67 = 1,277.97 : x
  2. Step 2: Convert to fraction form
    2,325.71/3,209.67 = 1,277.97/x
  3. Step 3: Cross multiply
    2,325.71x = 3,209.67 × 1,277.97
  4. Step 4: Simplify right side
    2,325.71x = 4,101,861.97
  5. Step 5: Solve for x
    x = 4,101,861.97/2,325.71
  6. Step 6: Final answer
    x = 1,763.71

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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.