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Finding the Fourth Proportional to 2,834.49, 4,252.17 and 886.23

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Solution

The fourth proportional to 2,834.49, 4,252.17 and 886.23 is: 1,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.49 : 4,252.17 = 886.23 : x
  2. Step 2: Convert to fraction form
    2,834.49/4,252.17 = 886.23/x
  3. Step 3: Cross multiply
    2,834.49x = 4,252.17 × 886.23
  4. Step 4: Simplify right side
    2,834.49x = 3,768,400.62
  5. Step 5: Solve for x
    x = 3,768,400.62/2,834.49
  6. Step 6: Final answer
    x = 1,329.48

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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.