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Finding the Fourth Proportional to 2,084.97, 2,871.14 and 1,863.84

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Solution

The fourth proportional to 2,084.97, 2,871.14 and 1,863.84 is: 2,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.97 : 2,871.14 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    2,084.97/2,871.14 = 1,863.84/x
  3. Step 3: Cross multiply
    2,084.97x = 2,871.14 × 1,863.84
  4. Step 4: Simplify right side
    2,084.97x = 5,351,336.26
  5. Step 5: Solve for x
    x = 5,351,336.26/2,084.97
  6. Step 6: Final answer
    x = 2,566.63

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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.