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Finding the Fourth Proportional to 2,140.72, 3,211.29 and 580.82

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Solution

The fourth proportional to 2,140.72, 3,211.29 and 580.82 is: 871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.72 : 3,211.29 = 580.82 : x
  2. Step 2: Convert to fraction form
    2,140.72/3,211.29 = 580.82/x
  3. Step 3: Cross multiply
    2,140.72x = 3,211.29 × 580.82
  4. Step 4: Simplify right side
    2,140.72x = 1,865,163.95
  5. Step 5: Solve for x
    x = 1,865,163.95/2,140.72
  6. Step 6: Final answer
    x = 871.28

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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.