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Finding the Fourth Proportional to 2,001.30, 3,001.86 and 768.48

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Solution

The fourth proportional to 2,001.30, 3,001.86 and 768.48 is: 1,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.30 : 3,001.86 = 768.48 : x
  2. Step 2: Convert to fraction form
    2,001.30/3,001.86 = 768.48/x
  3. Step 3: Cross multiply
    2,001.30x = 3,001.86 × 768.48
  4. Step 4: Simplify right side
    2,001.30x = 2,306,869.37
  5. Step 5: Solve for x
    x = 2,306,869.37/2,001.30
  6. Step 6: Final answer
    x = 1,152.69

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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.