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Finding the Fourth Proportional to 2,001.28, 2,997.66 and 959.74

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Solution

The fourth proportional to 2,001.28, 2,997.66 and 959.74 is: 1,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.28 : 2,997.66 = 959.74 : x
  2. Step 2: Convert to fraction form
    2,001.28/2,997.66 = 959.74/x
  3. Step 3: Cross multiply
    2,001.28x = 2,997.66 × 959.74
  4. Step 4: Simplify right side
    2,001.28x = 2,876,974.21
  5. Step 5: Solve for x
    x = 2,876,974.21/2,001.28
  6. Step 6: Final answer
    x = 1,437.57

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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.