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Finding the Fourth Proportional to 2,081.52, 2,874.16 and 1,286.00

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Solution

The fourth proportional to 2,081.52, 2,874.16 and 1,286.00 is: 1,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.52 : 2,874.16 = 1,286.00 : x
  2. Step 2: Convert to fraction form
    2,081.52/2,874.16 = 1,286.00/x
  3. Step 3: Cross multiply
    2,081.52x = 2,874.16 × 1,286.00
  4. Step 4: Simplify right side
    2,081.52x = 3,696,172.24
  5. Step 5: Solve for x
    x = 3,696,172.24/2,081.52
  6. Step 6: Final answer
    x = 1,775.71

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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.