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Finding the Fourth Proportional to 3,191.61, 4,404.42 and 1,775.27

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Solution

The fourth proportional to 3,191.61, 4,404.42 and 1,775.27 is: 2,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.61 : 4,404.42 = 1,775.27 : x
  2. Step 2: Convert to fraction form
    3,191.61/4,404.42 = 1,775.27/x
  3. Step 3: Cross multiply
    3,191.61x = 4,404.42 × 1,775.27
  4. Step 4: Simplify right side
    3,191.61x = 7,819,012.67
  5. Step 5: Solve for x
    x = 7,819,012.67/3,191.61
  6. Step 6: Final answer
    x = 2,449.86

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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.