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Finding the Fourth Proportional to 2,692.08, 4,035.95 and 842.24

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Solution

The fourth proportional to 2,692.08, 4,035.95 and 842.24 is: 1,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.08 : 4,035.95 = 842.24 : x
  2. Step 2: Convert to fraction form
    2,692.08/4,035.95 = 842.24/x
  3. Step 3: Cross multiply
    2,692.08x = 4,035.95 × 842.24
  4. Step 4: Simplify right side
    2,692.08x = 3,399,244.41
  5. Step 5: Solve for x
    x = 3,399,244.41/2,692.08
  6. Step 6: Final answer
    x = 1,262.68

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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.