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Finding the Fourth Proportional to 2,177.89, 3,267.11 and 717.19

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Solution

The fourth proportional to 2,177.89, 3,267.11 and 717.19 is: 1,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.89 : 3,267.11 = 717.19 : x
  2. Step 2: Convert to fraction form
    2,177.89/3,267.11 = 717.19/x
  3. Step 3: Cross multiply
    2,177.89x = 3,267.11 × 717.19
  4. Step 4: Simplify right side
    2,177.89x = 2,343,138.62
  5. Step 5: Solve for x
    x = 2,343,138.62/2,177.89
  6. Step 6: Final answer
    x = 1,075.88

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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.