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Finding the Fourth Proportional to 2,124.62, 3,188.17 and 891.92

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Solution

The fourth proportional to 2,124.62, 3,188.17 and 891.92 is: 1,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.62 : 3,188.17 = 891.92 : x
  2. Step 2: Convert to fraction form
    2,124.62/3,188.17 = 891.92/x
  3. Step 3: Cross multiply
    2,124.62x = 3,188.17 × 891.92
  4. Step 4: Simplify right side
    2,124.62x = 2,843,601.67
  5. Step 5: Solve for x
    x = 2,843,601.67/2,124.62
  6. Step 6: Final answer
    x = 1,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.