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Finding the Fourth Proportional to 1,982.21, 2,972.30 and 665.51

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Solution

The fourth proportional to 1,982.21, 2,972.30 and 665.51 is: 997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.21 : 2,972.30 = 665.51 : x
  2. Step 2: Convert to fraction form
    1,982.21/2,972.30 = 665.51/x
  3. Step 3: Cross multiply
    1,982.21x = 2,972.30 × 665.51
  4. Step 4: Simplify right side
    1,982.21x = 1,978,077.18
  5. Step 5: Solve for x
    x = 1,978,077.18/1,982.21
  6. Step 6: Final answer
    x = 997.92

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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.