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Finding the Fourth Proportional to 2,294.23, 3,442.71 and 833.49

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Solution

The fourth proportional to 2,294.23, 3,442.71 and 833.49 is: 1,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.23 : 3,442.71 = 833.49 : x
  2. Step 2: Convert to fraction form
    2,294.23/3,442.71 = 833.49/x
  3. Step 3: Cross multiply
    2,294.23x = 3,442.71 × 833.49
  4. Step 4: Simplify right side
    2,294.23x = 2,869,464.36
  5. Step 5: Solve for x
    x = 2,869,464.36/2,294.23
  6. Step 6: Final answer
    x = 1,250.73

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Double scale
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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.