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Finding the Fourth Proportional to 2,138.89, 2,951.90 and 1,254.82

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Solution

The fourth proportional to 2,138.89, 2,951.90 and 1,254.82 is: 1,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.89 : 2,951.90 = 1,254.82 : x
  2. Step 2: Convert to fraction form
    2,138.89/2,951.90 = 1,254.82/x
  3. Step 3: Cross multiply
    2,138.89x = 2,951.90 × 1,254.82
  4. Step 4: Simplify right side
    2,138.89x = 3,704,103.16
  5. Step 5: Solve for x
    x = 3,704,103.16/2,138.89
  6. Step 6: Final answer
    x = 1,731.79

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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.