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Finding the Fourth Proportional to 1,641.58, 2,463.76 and 819.60

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Solution

The fourth proportional to 1,641.58, 2,463.76 and 819.60 is: 1,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.58 : 2,463.76 = 819.60 : x
  2. Step 2: Convert to fraction form
    1,641.58/2,463.76 = 819.60/x
  3. Step 3: Cross multiply
    1,641.58x = 2,463.76 × 819.60
  4. Step 4: Simplify right side
    1,641.58x = 2,019,297.70
  5. Step 5: Solve for x
    x = 2,019,297.70/1,641.58
  6. Step 6: Final answer
    x = 1,230.09

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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.