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Finding the Fourth Proportional to 2,993.12, 4,489.72 and 1,044.88

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Solution

The fourth proportional to 2,993.12, 4,489.72 and 1,044.88 is: 1,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.12 : 4,489.72 = 1,044.88 : x
  2. Step 2: Convert to fraction form
    2,993.12/4,489.72 = 1,044.88/x
  3. Step 3: Cross multiply
    2,993.12x = 4,489.72 × 1,044.88
  4. Step 4: Simplify right side
    2,993.12x = 4,691,218.63
  5. Step 5: Solve for x
    x = 4,691,218.63/2,993.12
  6. Step 6: Final answer
    x = 1,567.33

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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.