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Finding the Fourth Proportional to 2,506.62, 3,760.33 and 862.76

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Solution

The fourth proportional to 2,506.62, 3,760.33 and 862.76 is: 1,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.62 : 3,760.33 = 862.76 : x
  2. Step 2: Convert to fraction form
    2,506.62/3,760.33 = 862.76/x
  3. Step 3: Cross multiply
    2,506.62x = 3,760.33 × 862.76
  4. Step 4: Simplify right side
    2,506.62x = 3,244,262.31
  5. Step 5: Solve for x
    x = 3,244,262.31/2,506.62
  6. Step 6: Final answer
    x = 1,294.28

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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.