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Finding the Fourth Proportional to 2,692.50, 4,044.18 and 2,074.08

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Solution

The fourth proportional to 2,692.50, 4,044.18 and 2,074.08 is: 3,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.50 : 4,044.18 = 2,074.08 : x
  2. Step 2: Convert to fraction form
    2,692.50/4,044.18 = 2,074.08/x
  3. Step 3: Cross multiply
    2,692.50x = 4,044.18 × 2,074.08
  4. Step 4: Simplify right side
    2,692.50x = 8,387,952.85
  5. Step 5: Solve for x
    x = 8,387,952.85/2,692.50
  6. Step 6: Final answer
    x = 3,115.30

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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.