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Finding the Fourth Proportional to 1,982.27, 2,973.41 and 521.42

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Solution

The fourth proportional to 1,982.27, 2,973.41 and 521.42 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.27 : 2,973.41 = 521.42 : x
  2. Step 2: Convert to fraction form
    1,982.27/2,973.41 = 521.42/x
  3. Step 3: Cross multiply
    1,982.27x = 2,973.41 × 521.42
  4. Step 4: Simplify right side
    1,982.27x = 1,550,395.44
  5. Step 5: Solve for x
    x = 1,550,395.44/1,982.27
  6. Step 6: Final answer
    x = 782.13

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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.