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Finding the Fourth Proportional to 2,857.68, 4,286.93 and 910.04

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Solution

The fourth proportional to 2,857.68, 4,286.93 and 910.04 is: 1,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.68 : 4,286.93 = 910.04 : x
  2. Step 2: Convert to fraction form
    2,857.68/4,286.93 = 910.04/x
  3. Step 3: Cross multiply
    2,857.68x = 4,286.93 × 910.04
  4. Step 4: Simplify right side
    2,857.68x = 3,901,251.79
  5. Step 5: Solve for x
    x = 3,901,251.79/2,857.68
  6. Step 6: Final answer
    x = 1,365.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.