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Finding the Fourth Proportional to 1,692.59, 2,538.14 and 768.11

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Solution

The fourth proportional to 1,692.59, 2,538.14 and 768.11 is: 1,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.59 : 2,538.14 = 768.11 : x
  2. Step 2: Convert to fraction form
    1,692.59/2,538.14 = 768.11/x
  3. Step 3: Cross multiply
    1,692.59x = 2,538.14 × 768.11
  4. Step 4: Simplify right side
    1,692.59x = 1,949,554.18
  5. Step 5: Solve for x
    x = 1,949,554.18/1,692.59
  6. Step 6: Final answer
    x = 1,151.82

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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.