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Finding the Fourth Proportional to 2,567.82, 3,851.84 and 1,161.98

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Solution

The fourth proportional to 2,567.82, 3,851.84 and 1,161.98 is: 1,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.82 : 3,851.84 = 1,161.98 : x
  2. Step 2: Convert to fraction form
    2,567.82/3,851.84 = 1,161.98/x
  3. Step 3: Cross multiply
    2,567.82x = 3,851.84 × 1,161.98
  4. Step 4: Simplify right side
    2,567.82x = 4,475,761.04
  5. Step 5: Solve for x
    x = 4,475,761.04/2,567.82
  6. Step 6: Final answer
    x = 1,743.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.