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Finding the Fourth Proportional to 2,506.40, 3,759.55 and 862.91

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Solution

The fourth proportional to 2,506.40, 3,759.55 and 862.91 is: 1,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.40 : 3,759.55 = 862.91 : x
  2. Step 2: Convert to fraction form
    2,506.40/3,759.55 = 862.91/x
  3. Step 3: Cross multiply
    2,506.40x = 3,759.55 × 862.91
  4. Step 4: Simplify right side
    2,506.40x = 3,244,144.79
  5. Step 5: Solve for x
    x = 3,244,144.79/2,506.40
  6. Step 6: Final answer
    x = 1,294.35

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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.