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Finding the Fourth Proportional to 1,641.99, 2,459.92 and 819.30

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Solution

The fourth proportional to 1,641.99, 2,459.92 and 819.30 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.99 : 2,459.92 = 819.30 : x
  2. Step 2: Convert to fraction form
    1,641.99/2,459.92 = 819.30/x
  3. Step 3: Cross multiply
    1,641.99x = 2,459.92 × 819.30
  4. Step 4: Simplify right side
    1,641.99x = 2,015,412.46
  5. Step 5: Solve for x
    x = 2,015,412.46/1,641.99
  6. Step 6: Final answer
    x = 1,227.42

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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.