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Finding the Fourth Proportional to 2,692.84, 4,035.90 and 1,230.28

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Solution

The fourth proportional to 2,692.84, 4,035.90 and 1,230.28 is: 1,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.84 : 4,035.90 = 1,230.28 : x
  2. Step 2: Convert to fraction form
    2,692.84/4,035.90 = 1,230.28/x
  3. Step 3: Cross multiply
    2,692.84x = 4,035.90 × 1,230.28
  4. Step 4: Simplify right side
    2,692.84x = 4,965,287.05
  5. Step 5: Solve for x
    x = 4,965,287.05/2,692.84
  6. Step 6: Final answer
    x = 1,843.88

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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.