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Finding the Fourth Proportional to 2,857.16, 4,284.83 and 908.91

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Solution

The fourth proportional to 2,857.16, 4,284.83 and 908.91 is: 1,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.16 : 4,284.83 = 908.91 : x
  2. Step 2: Convert to fraction form
    2,857.16/4,284.83 = 908.91/x
  3. Step 3: Cross multiply
    2,857.16x = 4,284.83 × 908.91
  4. Step 4: Simplify right side
    2,857.16x = 3,894,524.84
  5. Step 5: Solve for x
    x = 3,894,524.84/2,857.16
  6. Step 6: Final answer
    x = 1,363.08

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1.5x scale

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.