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Finding the Fourth Proportional to 2,537.72, 3,806.01 and 871.65

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Solution

The fourth proportional to 2,537.72, 3,806.01 and 871.65 is: 1,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.72 : 3,806.01 = 871.65 : x
  2. Step 2: Convert to fraction form
    2,537.72/3,806.01 = 871.65/x
  3. Step 3: Cross multiply
    2,537.72x = 3,806.01 × 871.65
  4. Step 4: Simplify right side
    2,537.72x = 3,317,508.62
  5. Step 5: Solve for x
    x = 3,317,508.62/2,537.72
  6. Step 6: Final answer
    x = 1,307.28

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Why These Related Problems?

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