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Finding the Fourth Proportional to 2,166.80, 3,250.38 and 867.56

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Solution

The fourth proportional to 2,166.80, 3,250.38 and 867.56 is: 1,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.80 : 3,250.38 = 867.56 : x
  2. Step 2: Convert to fraction form
    2,166.80/3,250.38 = 867.56/x
  3. Step 3: Cross multiply
    2,166.80x = 3,250.38 × 867.56
  4. Step 4: Simplify right side
    2,166.80x = 2,819,899.67
  5. Step 5: Solve for x
    x = 2,819,899.67/2,166.80
  6. Step 6: Final answer
    x = 1,301.41

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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.