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Finding the Fourth Proportional to 2,691.87, 4,035.82 and 841.95

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Solution

The fourth proportional to 2,691.87, 4,035.82 and 841.95 is: 1,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.87 : 4,035.82 = 841.95 : x
  2. Step 2: Convert to fraction form
    2,691.87/4,035.82 = 841.95/x
  3. Step 3: Cross multiply
    2,691.87x = 4,035.82 × 841.95
  4. Step 4: Simplify right side
    2,691.87x = 3,397,936.37
  5. Step 5: Solve for x
    x = 3,397,936.37/2,691.87
  6. Step 6: Final answer
    x = 1,262.30

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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.