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Finding the Fourth Proportional to 1,983.24, 2,974.87 and 596.58

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Solution

The fourth proportional to 1,983.24, 2,974.87 and 596.58 is: 894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.24 : 2,974.87 = 596.58 : x
  2. Step 2: Convert to fraction form
    1,983.24/2,974.87 = 596.58/x
  3. Step 3: Cross multiply
    1,983.24x = 2,974.87 × 596.58
  4. Step 4: Simplify right side
    1,983.24x = 1,774,747.94
  5. Step 5: Solve for x
    x = 1,774,747.94/1,983.24
  6. Step 6: Final answer
    x = 894.87

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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.