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Finding the Fourth Proportional to 2,001.75, 3,001.69 and 768.84

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Solution

The fourth proportional to 2,001.75, 3,001.69 and 768.84 is: 1,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.75 : 3,001.69 = 768.84 : x
  2. Step 2: Convert to fraction form
    2,001.75/3,001.69 = 768.84/x
  3. Step 3: Cross multiply
    2,001.75x = 3,001.69 × 768.84
  4. Step 4: Simplify right side
    2,001.75x = 2,307,819.34
  5. Step 5: Solve for x
    x = 2,307,819.34/2,001.75
  6. Step 6: Final answer
    x = 1,152.90

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1.5x scale

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.