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Finding the Fourth Proportional to 1,794.75, 2,692.14 and 768.75

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Solution

The fourth proportional to 1,794.75, 2,692.14 and 768.75 is: 1,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.75 : 2,692.14 = 768.75 : x
  2. Step 2: Convert to fraction form
    1,794.75/2,692.14 = 768.75/x
  3. Step 3: Cross multiply
    1,794.75x = 2,692.14 × 768.75
  4. Step 4: Simplify right side
    1,794.75x = 2,069,582.63
  5. Step 5: Solve for x
    x = 2,069,582.63/1,794.75
  6. Step 6: Final answer
    x = 1,153.13

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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.