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Finding the Fourth Proportional to 1,982.20, 2,973.29 and 749.39

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Solution

The fourth proportional to 1,982.20, 2,973.29 and 749.39 is: 1,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.20 : 2,973.29 = 749.39 : x
  2. Step 2: Convert to fraction form
    1,982.20/2,973.29 = 749.39/x
  3. Step 3: Cross multiply
    1,982.20x = 2,973.29 × 749.39
  4. Step 4: Simplify right side
    1,982.20x = 2,228,155.10
  5. Step 5: Solve for x
    x = 2,228,155.10/1,982.20
  6. Step 6: Final answer
    x = 1,124.08

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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.