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Finding the Fourth Proportional to 2,167.84, 3,251.95 and 607.85

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Solution

The fourth proportional to 2,167.84, 3,251.95 and 607.85 is: 911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.84 : 3,251.95 = 607.85 : x
  2. Step 2: Convert to fraction form
    2,167.84/3,251.95 = 607.85/x
  3. Step 3: Cross multiply
    2,167.84x = 3,251.95 × 607.85
  4. Step 4: Simplify right side
    2,167.84x = 1,976,710.52
  5. Step 5: Solve for x
    x = 1,976,710.52/2,167.84
  6. Step 6: Final answer
    x = 911.83

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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.