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Finding the Fourth Proportional to 2,829.80, 4,244.33 and 749.81

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Solution

The fourth proportional to 2,829.80, 4,244.33 and 749.81 is: 1,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.80 : 4,244.33 = 749.81 : x
  2. Step 2: Convert to fraction form
    2,829.80/4,244.33 = 749.81/x
  3. Step 3: Cross multiply
    2,829.80x = 4,244.33 × 749.81
  4. Step 4: Simplify right side
    2,829.80x = 3,182,453.56
  5. Step 5: Solve for x
    x = 3,182,453.56/2,829.80
  6. Step 6: Final answer
    x = 1,124.62

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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.