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Finding the Fourth Proportional to 2,506.38, 3,759.74 and 862.72

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Solution

The fourth proportional to 2,506.38, 3,759.74 and 862.72 is: 1,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.38 : 3,759.74 = 862.72 : x
  2. Step 2: Convert to fraction form
    2,506.38/3,759.74 = 862.72/x
  3. Step 3: Cross multiply
    2,506.38x = 3,759.74 × 862.72
  4. Step 4: Simplify right side
    2,506.38x = 3,243,592.42
  5. Step 5: Solve for x
    x = 3,243,592.42/2,506.38
  6. Step 6: Final answer
    x = 1,294.14

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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.