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Finding the Fourth Proportional to 1,972.42, 2,954.66 and 982.24

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Solution

The fourth proportional to 1,972.42, 2,954.66 and 982.24 is: 1,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.42 : 2,954.66 = 982.24 : x
  2. Step 2: Convert to fraction form
    1,972.42/2,954.66 = 982.24/x
  3. Step 3: Cross multiply
    1,972.42x = 2,954.66 × 982.24
  4. Step 4: Simplify right side
    1,972.42x = 2,902,185.24
  5. Step 5: Solve for x
    x = 2,902,185.24/1,972.42
  6. Step 6: Final answer
    x = 1,471.38

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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.