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Finding the Fourth Proportional to 2,897.80, 3,991.67 and 2,685.17

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Solution

The fourth proportional to 2,897.80, 3,991.67 and 2,685.17 is: 3,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.80 : 3,991.67 = 2,685.17 : x
  2. Step 2: Convert to fraction form
    2,897.80/3,991.67 = 2,685.17/x
  3. Step 3: Cross multiply
    2,897.80x = 3,991.67 × 2,685.17
  4. Step 4: Simplify right side
    2,897.80x = 10,718,312.53
  5. Step 5: Solve for x
    x = 10,718,312.53/2,897.80
  6. Step 6: Final answer
    x = 3,698.78

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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.