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Finding the Fourth Proportional to 2,446.88, 3,670.37 and 691.88

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Solution

The fourth proportional to 2,446.88, 3,670.37 and 691.88 is: 1,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.88 : 3,670.37 = 691.88 : x
  2. Step 2: Convert to fraction form
    2,446.88/3,670.37 = 691.88/x
  3. Step 3: Cross multiply
    2,446.88x = 3,670.37 × 691.88
  4. Step 4: Simplify right side
    2,446.88x = 2,539,433.78
  5. Step 5: Solve for x
    x = 2,539,433.78/2,446.88
  6. Step 6: Final answer
    x = 1,037.83

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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.