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Finding the Fourth Proportional to 1,865.46, 2,796.84 and 769.44

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Solution

The fourth proportional to 1,865.46, 2,796.84 and 769.44 is: 1,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.46 : 2,796.84 = 769.44 : x
  2. Step 2: Convert to fraction form
    1,865.46/2,796.84 = 769.44/x
  3. Step 3: Cross multiply
    1,865.46x = 2,796.84 × 769.44
  4. Step 4: Simplify right side
    1,865.46x = 2,152,000.57
  5. Step 5: Solve for x
    x = 2,152,000.57/1,865.46
  6. Step 6: Final answer
    x = 1,153.60

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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.