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Finding the Fourth Proportional to 1,966.20, 2,972.61 and 1,966.20

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Solution

The fourth proportional to 1,966.20, 2,972.61 and 1,966.20 is: 2,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.20 : 2,972.61 = 1,966.20 : x
  2. Step 2: Convert to fraction form
    1,966.20/2,972.61 = 1,966.20/x
  3. Step 3: Cross multiply
    1,966.20x = 2,972.61 × 1,966.20
  4. Step 4: Simplify right side
    1,966.20x = 5,844,745.78
  5. Step 5: Solve for x
    x = 5,844,745.78/1,966.20
  6. Step 6: Final answer
    x = 2,972.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.