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Finding the Fourth Proportional to 2,275.13, 3,138.07 and 1,391.42

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Solution

The fourth proportional to 2,275.13, 3,138.07 and 1,391.42 is: 1,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.13 : 3,138.07 = 1,391.42 : x
  2. Step 2: Convert to fraction form
    2,275.13/3,138.07 = 1,391.42/x
  3. Step 3: Cross multiply
    2,275.13x = 3,138.07 × 1,391.42
  4. Step 4: Simplify right side
    2,275.13x = 4,366,373.36
  5. Step 5: Solve for x
    x = 4,366,373.36/2,275.13
  6. Step 6: Final answer
    x = 1,919.18

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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.