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Finding the Fourth Proportional to 2,138.27, 2,949.01 and 1,391.65

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Solution

The fourth proportional to 2,138.27, 2,949.01 and 1,391.65 is: 1,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.27 : 2,949.01 = 1,391.65 : x
  2. Step 2: Convert to fraction form
    2,138.27/2,949.01 = 1,391.65/x
  3. Step 3: Cross multiply
    2,138.27x = 2,949.01 × 1,391.65
  4. Step 4: Simplify right side
    2,138.27x = 4,103,978.91
  5. Step 5: Solve for x
    x = 4,103,978.91/2,138.27
  6. Step 6: Final answer
    x = 1,919.30

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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.