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Finding the Fourth Proportional to 2,461.44, 3,692.31 and 819.12

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Solution

The fourth proportional to 2,461.44, 3,692.31 and 819.12 is: 1,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.44 : 3,692.31 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,461.44/3,692.31 = 819.12/x
  3. Step 3: Cross multiply
    2,461.44x = 3,692.31 × 819.12
  4. Step 4: Simplify right side
    2,461.44x = 3,024,444.97
  5. Step 5: Solve for x
    x = 3,024,444.97/2,461.44
  6. Step 6: Final answer
    x = 1,228.73

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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.