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Finding the Fourth Proportional to 2,799.25, 3,860.42 and 2,167.76

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Solution

The fourth proportional to 2,799.25, 3,860.42 and 2,167.76 is: 2,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.25 : 3,860.42 = 2,167.76 : x
  2. Step 2: Convert to fraction form
    2,799.25/3,860.42 = 2,167.76/x
  3. Step 3: Cross multiply
    2,799.25x = 3,860.42 × 2,167.76
  4. Step 4: Simplify right side
    2,799.25x = 8,368,462.87
  5. Step 5: Solve for x
    x = 8,368,462.87/2,799.25
  6. Step 6: Final answer
    x = 2,989.54

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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.