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Finding the Fourth Proportional to 2,141.19, 3,211.99 and 581.22

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Solution

The fourth proportional to 2,141.19, 3,211.99 and 581.22 is: 871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.19 : 3,211.99 = 581.22 : x
  2. Step 2: Convert to fraction form
    2,141.19/3,211.99 = 581.22/x
  3. Step 3: Cross multiply
    2,141.19x = 3,211.99 × 581.22
  4. Step 4: Simplify right side
    2,141.19x = 1,866,872.83
  5. Step 5: Solve for x
    x = 1,866,872.83/2,141.19
  6. Step 6: Final answer
    x = 871.89

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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.