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Finding the Fourth Proportional to 2,648.71, 3,972.30 and 982.33

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Solution

The fourth proportional to 2,648.71, 3,972.30 and 982.33 is: 1,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.71 : 3,972.30 = 982.33 : x
  2. Step 2: Convert to fraction form
    2,648.71/3,972.30 = 982.33/x
  3. Step 3: Cross multiply
    2,648.71x = 3,972.30 × 982.33
  4. Step 4: Simplify right side
    2,648.71x = 3,902,109.46
  5. Step 5: Solve for x
    x = 3,902,109.46/2,648.71
  6. Step 6: Final answer
    x = 1,473.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.