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Finding the Fourth Proportional to 2,578.91, 3,868.79 and 847.13

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Solution

The fourth proportional to 2,578.91, 3,868.79 and 847.13 is: 1,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.91 : 3,868.79 = 847.13 : x
  2. Step 2: Convert to fraction form
    2,578.91/3,868.79 = 847.13/x
  3. Step 3: Cross multiply
    2,578.91x = 3,868.79 × 847.13
  4. Step 4: Simplify right side
    2,578.91x = 3,277,344.49
  5. Step 5: Solve for x
    x = 3,277,344.49/2,578.91
  6. Step 6: Final answer
    x = 1,270.83

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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.