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Finding the Fourth Proportional to 1,982.99, 2,974.50 and 596.34

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Solution

The fourth proportional to 1,982.99, 2,974.50 and 596.34 is: 894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.99 : 2,974.50 = 596.34 : x
  2. Step 2: Convert to fraction form
    1,982.99/2,974.50 = 596.34/x
  3. Step 3: Cross multiply
    1,982.99x = 2,974.50 × 596.34
  4. Step 4: Simplify right side
    1,982.99x = 1,773,813.33
  5. Step 5: Solve for x
    x = 1,773,813.33/1,982.99
  6. Step 6: Final answer
    x = 894.52

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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.