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Finding the Fourth Proportional to 1,982.63, 2,974.21 and 666.48

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Solution

The fourth proportional to 1,982.63, 2,974.21 and 666.48 is: 999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.63 : 2,974.21 = 666.48 : x
  2. Step 2: Convert to fraction form
    1,982.63/2,974.21 = 666.48/x
  3. Step 3: Cross multiply
    1,982.63x = 2,974.21 × 666.48
  4. Step 4: Simplify right side
    1,982.63x = 1,982,261.47
  5. Step 5: Solve for x
    x = 1,982,261.47/1,982.63
  6. Step 6: Final answer
    x = 999.82

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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.