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Finding the Fourth Proportional to 2,138.47, 2,951.85 and 1,299.85

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Solution

The fourth proportional to 2,138.47, 2,951.85 and 1,299.85 is: 1,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.47 : 2,951.85 = 1,299.85 : x
  2. Step 2: Convert to fraction form
    2,138.47/2,951.85 = 1,299.85/x
  3. Step 3: Cross multiply
    2,138.47x = 2,951.85 × 1,299.85
  4. Step 4: Simplify right side
    2,138.47x = 3,836,962.22
  5. Step 5: Solve for x
    x = 3,836,962.22/2,138.47
  6. Step 6: Final answer
    x = 1,794.26

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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.