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Finding the Fourth Proportional to 2,506.44, 3,759.86 and 862.98

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Solution

The fourth proportional to 2,506.44, 3,759.86 and 862.98 is: 1,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.44 : 3,759.86 = 862.98 : x
  2. Step 2: Convert to fraction form
    2,506.44/3,759.86 = 862.98/x
  3. Step 3: Cross multiply
    2,506.44x = 3,759.86 × 862.98
  4. Step 4: Simplify right side
    2,506.44x = 3,244,683.98
  5. Step 5: Solve for x
    x = 3,244,683.98/2,506.44
  6. Step 6: Final answer
    x = 1,294.54

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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.