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Finding the Fourth Proportional to 1,982.67, 2,973.97 and 521.83

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Solution

The fourth proportional to 1,982.67, 2,973.97 and 521.83 is: 782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.67 : 2,973.97 = 521.83 : x
  2. Step 2: Convert to fraction form
    1,982.67/2,973.97 = 521.83/x
  3. Step 3: Cross multiply
    1,982.67x = 2,973.97 × 521.83
  4. Step 4: Simplify right side
    1,982.67x = 1,551,906.77
  5. Step 5: Solve for x
    x = 1,551,906.77/1,982.67
  6. Step 6: Final answer
    x = 782.74

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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.