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Finding the Fourth Proportional to 1,982.68, 2,974.01 and 596.14

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Solution

The fourth proportional to 1,982.68, 2,974.01 and 596.14 is: 894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.68 : 2,974.01 = 596.14 : x
  2. Step 2: Convert to fraction form
    1,982.68/2,974.01 = 596.14/x
  3. Step 3: Cross multiply
    1,982.68x = 2,974.01 × 596.14
  4. Step 4: Simplify right side
    1,982.68x = 1,772,926.32
  5. Step 5: Solve for x
    x = 1,772,926.32/1,982.68
  6. Step 6: Final answer
    x = 894.21

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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.