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Finding the Fourth Proportional to 1,982.62, 2,974.47 and 596.01

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Solution

The fourth proportional to 1,982.62, 2,974.47 and 596.01 is: 894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.62 : 2,974.47 = 596.01 : x
  2. Step 2: Convert to fraction form
    1,982.62/2,974.47 = 596.01/x
  3. Step 3: Cross multiply
    1,982.62x = 2,974.47 × 596.01
  4. Step 4: Simplify right side
    1,982.62x = 1,772,813.86
  5. Step 5: Solve for x
    x = 1,772,813.86/1,982.62
  6. Step 6: Final answer
    x = 894.18

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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.