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Finding the Fourth Proportional to 2,149.80, 3,224.52 and 762.84

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Solution

The fourth proportional to 2,149.80, 3,224.52 and 762.84 is: 1,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.80 : 3,224.52 = 762.84 : x
  2. Step 2: Convert to fraction form
    2,149.80/3,224.52 = 762.84/x
  3. Step 3: Cross multiply
    2,149.80x = 3,224.52 × 762.84
  4. Step 4: Simplify right side
    2,149.80x = 2,459,792.84
  5. Step 5: Solve for x
    x = 2,459,792.84/2,149.80
  6. Step 6: Final answer
    x = 1,144.20

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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.