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Finding the Fourth Proportional to 2,506.35, 3,759.40 and 862.90

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Solution

The fourth proportional to 2,506.35, 3,759.40 and 862.90 is: 1,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.35 : 3,759.40 = 862.90 : x
  2. Step 2: Convert to fraction form
    2,506.35/3,759.40 = 862.90/x
  3. Step 3: Cross multiply
    2,506.35x = 3,759.40 × 862.90
  4. Step 4: Simplify right side
    2,506.35x = 3,243,986.26
  5. Step 5: Solve for x
    x = 3,243,986.26/2,506.35
  6. Step 6: Final answer
    x = 1,294.31

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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.