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Finding the Fourth Proportional to 2,789.50, 4,184.22 and 681.14

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Solution

The fourth proportional to 2,789.50, 4,184.22 and 681.14 is: 1,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.50 : 4,184.22 = 681.14 : x
  2. Step 2: Convert to fraction form
    2,789.50/4,184.22 = 681.14/x
  3. Step 3: Cross multiply
    2,789.50x = 4,184.22 × 681.14
  4. Step 4: Simplify right side
    2,789.50x = 2,850,039.61
  5. Step 5: Solve for x
    x = 2,850,039.61/2,789.50
  6. Step 6: Final answer
    x = 1,021.70

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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.