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Finding the Fourth Proportional to 2,166.72, 3,250.56 and 705.84

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Solution

The fourth proportional to 2,166.72, 3,250.56 and 705.84 is: 1,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.72 : 3,250.56 = 705.84 : x
  2. Step 2: Convert to fraction form
    2,166.72/3,250.56 = 705.84/x
  3. Step 3: Cross multiply
    2,166.72x = 3,250.56 × 705.84
  4. Step 4: Simplify right side
    2,166.72x = 2,294,375.27
  5. Step 5: Solve for x
    x = 2,294,375.27/2,166.72
  6. Step 6: Final answer
    x = 1,058.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.