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Finding the Fourth Proportional to 2,294.18, 3,442.74 and 833.20

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Solution

The fourth proportional to 2,294.18, 3,442.74 and 833.20 is: 1,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.18 : 3,442.74 = 833.20 : x
  2. Step 2: Convert to fraction form
    2,294.18/3,442.74 = 833.20/x
  3. Step 3: Cross multiply
    2,294.18x = 3,442.74 × 833.20
  4. Step 4: Simplify right side
    2,294.18x = 2,868,490.97
  5. Step 5: Solve for x
    x = 2,868,490.97/2,294.18
  6. Step 6: Final answer
    x = 1,250.33

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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.