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Finding the Fourth Proportional to 2,296.43, 3,442.56 and 834.55

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Solution

The fourth proportional to 2,296.43, 3,442.56 and 834.55 is: 1,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.43 : 3,442.56 = 834.55 : x
  2. Step 2: Convert to fraction form
    2,296.43/3,442.56 = 834.55/x
  3. Step 3: Cross multiply
    2,296.43x = 3,442.56 × 834.55
  4. Step 4: Simplify right side
    2,296.43x = 2,872,971.24
  5. Step 5: Solve for x
    x = 2,872,971.24/2,296.43
  6. Step 6: Final answer
    x = 1,251.06

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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.