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Finding the Fourth Proportional to 2,882.50, 3,977.85 and 1,640.74

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Solution

The fourth proportional to 2,882.50, 3,977.85 and 1,640.74 is: 2,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.50 : 3,977.85 = 1,640.74 : x
  2. Step 2: Convert to fraction form
    2,882.50/3,977.85 = 1,640.74/x
  3. Step 3: Cross multiply
    2,882.50x = 3,977.85 × 1,640.74
  4. Step 4: Simplify right side
    2,882.50x = 6,526,617.61
  5. Step 5: Solve for x
    x = 6,526,617.61/2,882.50
  6. Step 6: Final answer
    x = 2,264.22

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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.