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Finding the Fourth Proportional to 2,506.98, 3,760.52 and 1,272.90

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Solution

The fourth proportional to 2,506.98, 3,760.52 and 1,272.90 is: 1,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.98 : 3,760.52 = 1,272.90 : x
  2. Step 2: Convert to fraction form
    2,506.98/3,760.52 = 1,272.90/x
  3. Step 3: Cross multiply
    2,506.98x = 3,760.52 × 1,272.90
  4. Step 4: Simplify right side
    2,506.98x = 4,786,759.54
  5. Step 5: Solve for x
    x = 4,786,759.54/2,506.98
  6. Step 6: Final answer
    x = 1,909.37

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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.