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Finding the Fourth Proportional to 1,692.27, 2,549.12 and 1,539.18

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Solution

The fourth proportional to 1,692.27, 2,549.12 and 1,539.18 is: 2,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.27 : 2,549.12 = 1,539.18 : x
  2. Step 2: Convert to fraction form
    1,692.27/2,549.12 = 1,539.18/x
  3. Step 3: Cross multiply
    1,692.27x = 2,549.12 × 1,539.18
  4. Step 4: Simplify right side
    1,692.27x = 3,923,546.83
  5. Step 5: Solve for x
    x = 3,923,546.83/1,692.27
  6. Step 6: Final answer
    x = 2,318.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.