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Finding the Fourth Proportional to 2,167, 3,250.84 and 705.81

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Solution

The fourth proportional to 2,167, 3,250.84 and 705.81 is: 1,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167 : 3,250.84 = 705.81 : x
  2. Step 2: Convert to fraction form
    2,167/3,250.84 = 705.81/x
  3. Step 3: Cross multiply
    2,167x = 3,250.84 × 705.81
  4. Step 4: Simplify right side
    2,167x = 2,294,475.38
  5. Step 5: Solve for x
    x = 2,294,475.38/2,167
  6. Step 6: Final answer
    x = 1,058.83

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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.