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Finding the Fourth Proportional to 2,275.20, 3,138.20 and 1,391.43

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Solution

The fourth proportional to 2,275.20, 3,138.20 and 1,391.43 is: 1,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.20 : 3,138.20 = 1,391.43 : x
  2. Step 2: Convert to fraction form
    2,275.20/3,138.20 = 1,391.43/x
  3. Step 3: Cross multiply
    2,275.20x = 3,138.20 × 1,391.43
  4. Step 4: Simplify right side
    2,275.20x = 4,366,578.67
  5. Step 5: Solve for x
    x = 4,366,578.67/2,275.20
  6. Step 6: Final answer
    x = 1,919.21

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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.