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Finding the Fourth Proportional to 1,972.44, 2,958.66 and 998.82

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Solution

The fourth proportional to 1,972.44, 2,958.66 and 998.82 is: 1,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.44 : 2,958.66 = 998.82 : x
  2. Step 2: Convert to fraction form
    1,972.44/2,958.66 = 998.82/x
  3. Step 3: Cross multiply
    1,972.44x = 2,958.66 × 998.82
  4. Step 4: Simplify right side
    1,972.44x = 2,955,168.78
  5. Step 5: Solve for x
    x = 2,955,168.78/1,972.44
  6. Step 6: Final answer
    x = 1,498.23

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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.