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Finding the Fourth Proportional to 2,499.50, 3,745.15 and 855.15

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Solution

The fourth proportional to 2,499.50, 3,745.15 and 855.15 is: 1,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.50 : 3,745.15 = 855.15 : x
  2. Step 2: Convert to fraction form
    2,499.50/3,745.15 = 855.15/x
  3. Step 3: Cross multiply
    2,499.50x = 3,745.15 × 855.15
  4. Step 4: Simplify right side
    2,499.50x = 3,202,665.02
  5. Step 5: Solve for x
    x = 3,202,665.02/2,499.50
  6. Step 6: Final answer
    x = 1,281.32

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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.