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Finding the Fourth Proportional to 2,122.62, 2,927.66 and 1,238.37

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Solution

The fourth proportional to 2,122.62, 2,927.66 and 1,238.37 is: 1,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.62 : 2,927.66 = 1,238.37 : x
  2. Step 2: Convert to fraction form
    2,122.62/2,927.66 = 1,238.37/x
  3. Step 3: Cross multiply
    2,122.62x = 2,927.66 × 1,238.37
  4. Step 4: Simplify right side
    2,122.62x = 3,625,520.12
  5. Step 5: Solve for x
    x = 3,625,520.12/2,122.62
  6. Step 6: Final answer
    x = 1,708.04

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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.