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Finding the Fourth Proportional to 3,191.97, 4,404.58 and 1,775.43

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Solution

The fourth proportional to 3,191.97, 4,404.58 and 1,775.43 is: 2,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.97 : 4,404.58 = 1,775.43 : x
  2. Step 2: Convert to fraction form
    3,191.97/4,404.58 = 1,775.43/x
  3. Step 3: Cross multiply
    3,191.97x = 4,404.58 × 1,775.43
  4. Step 4: Simplify right side
    3,191.97x = 7,820,023.47
  5. Step 5: Solve for x
    x = 7,820,023.47/3,191.97
  6. Step 6: Final answer
    x = 2,449.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.