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Finding the Fourth Proportional to 2,645.38, 3,965.27 and 888.71

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Solution

The fourth proportional to 2,645.38, 3,965.27 and 888.71 is: 1,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.38 : 3,965.27 = 888.71 : x
  2. Step 2: Convert to fraction form
    2,645.38/3,965.27 = 888.71/x
  3. Step 3: Cross multiply
    2,645.38x = 3,965.27 × 888.71
  4. Step 4: Simplify right side
    2,645.38x = 3,523,987.24
  5. Step 5: Solve for x
    x = 3,523,987.24/2,645.38
  6. Step 6: Final answer
    x = 1,332.13

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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.