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Finding the Fourth Proportional to 2,451.49, 3,677.34 and 891.85

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Solution

The fourth proportional to 2,451.49, 3,677.34 and 891.85 is: 1,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.49 : 3,677.34 = 891.85 : x
  2. Step 2: Convert to fraction form
    2,451.49/3,677.34 = 891.85/x
  3. Step 3: Cross multiply
    2,451.49x = 3,677.34 × 891.85
  4. Step 4: Simplify right side
    2,451.49x = 3,279,635.68
  5. Step 5: Solve for x
    x = 3,279,635.68/2,451.49
  6. Step 6: Final answer
    x = 1,337.81

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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.