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Finding the Fourth Proportional to 2,692.62, 4,038.12 and 1,768.14

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Solution

The fourth proportional to 2,692.62, 4,038.12 and 1,768.14 is: 2,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.62 : 4,038.12 = 1,768.14 : x
  2. Step 2: Convert to fraction form
    2,692.62/4,038.12 = 1,768.14/x
  3. Step 3: Cross multiply
    2,692.62x = 4,038.12 × 1,768.14
  4. Step 4: Simplify right side
    2,692.62x = 7,139,961.50
  5. Step 5: Solve for x
    x = 7,139,961.50/2,692.62
  6. Step 6: Final answer
    x = 2,651.68

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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.