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Finding the Fourth Proportional to 2,834.83, 4,252.25 and 860.47

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Solution

The fourth proportional to 2,834.83, 4,252.25 and 860.47 is: 1,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.83 : 4,252.25 = 860.47 : x
  2. Step 2: Convert to fraction form
    2,834.83/4,252.25 = 860.47/x
  3. Step 3: Cross multiply
    2,834.83x = 4,252.25 × 860.47
  4. Step 4: Simplify right side
    2,834.83x = 3,658,929.26
  5. Step 5: Solve for x
    x = 3,658,929.26/2,834.83
  6. Step 6: Final answer
    x = 1,290.71

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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.