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Finding the Fourth Proportional to 1,974.33, 2,961.50 and 820.17

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Solution

The fourth proportional to 1,974.33, 2,961.50 and 820.17 is: 1,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.33 : 2,961.50 = 820.17 : x
  2. Step 2: Convert to fraction form
    1,974.33/2,961.50 = 820.17/x
  3. Step 3: Cross multiply
    1,974.33x = 2,961.50 × 820.17
  4. Step 4: Simplify right side
    1,974.33x = 2,428,929.35
  5. Step 5: Solve for x
    x = 2,428,929.35/1,974.33
  6. Step 6: Final answer
    x = 1,230.26

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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.