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Finding the Fourth Proportional to 2,857.16, 4,284.81 and 908.90

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Solution

The fourth proportional to 2,857.16, 4,284.81 and 908.90 is: 1,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.16 : 4,284.81 = 908.90 : x
  2. Step 2: Convert to fraction form
    2,857.16/4,284.81 = 908.90/x
  3. Step 3: Cross multiply
    2,857.16x = 4,284.81 × 908.90
  4. Step 4: Simplify right side
    2,857.16x = 3,894,474.52
  5. Step 5: Solve for x
    x = 3,894,474.52/2,857.16
  6. Step 6: Final answer
    x = 1,363.06

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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.