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Finding the Fourth Proportional to 2,699.85, 4,049.16 and 1,532.09

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Solution

The fourth proportional to 2,699.85, 4,049.16 and 1,532.09 is: 2,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.85 : 4,049.16 = 1,532.09 : x
  2. Step 2: Convert to fraction form
    2,699.85/4,049.16 = 1,532.09/x
  3. Step 3: Cross multiply
    2,699.85x = 4,049.16 × 1,532.09
  4. Step 4: Simplify right side
    2,699.85x = 6,203,657.30
  5. Step 5: Solve for x
    x = 6,203,657.30/2,699.85
  6. Step 6: Final answer
    x = 2,297.78

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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.