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Finding the Fourth Proportional to 2,699.92, 4,049.93 and 752.12

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Solution

The fourth proportional to 2,699.92, 4,049.93 and 752.12 is: 1,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.92 : 4,049.93 = 752.12 : x
  2. Step 2: Convert to fraction form
    2,699.92/4,049.93 = 752.12/x
  3. Step 3: Cross multiply
    2,699.92x = 4,049.93 × 752.12
  4. Step 4: Simplify right side
    2,699.92x = 3,046,033.35
  5. Step 5: Solve for x
    x = 3,046,033.35/2,699.92
  6. Step 6: Final answer
    x = 1,128.19

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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.