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Finding the Fourth Proportional to 2,882.02, 3,977.75 and 1,874.97

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Solution

The fourth proportional to 2,882.02, 3,977.75 and 1,874.97 is: 2,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.02 : 3,977.75 = 1,874.97 : x
  2. Step 2: Convert to fraction form
    2,882.02/3,977.75 = 1,874.97/x
  3. Step 3: Cross multiply
    2,882.02x = 3,977.75 × 1,874.97
  4. Step 4: Simplify right side
    2,882.02x = 7,458,161.92
  5. Step 5: Solve for x
    x = 7,458,161.92/2,882.02
  6. Step 6: Final answer
    x = 2,587.82

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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.