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Finding the Fourth Proportional to 1,974.06, 2,962.26 and 819.81

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Solution

The fourth proportional to 1,974.06, 2,962.26 and 819.81 is: 1,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.06 : 2,962.26 = 819.81 : x
  2. Step 2: Convert to fraction form
    1,974.06/2,962.26 = 819.81/x
  3. Step 3: Cross multiply
    1,974.06x = 2,962.26 × 819.81
  4. Step 4: Simplify right side
    1,974.06x = 2,428,490.37
  5. Step 5: Solve for x
    x = 2,428,490.37/1,974.06
  6. Step 6: Final answer
    x = 1,230.20

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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.