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Finding the Fourth Proportional to 1,593.03, 2,198.67 and 963.90

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Solution

The fourth proportional to 1,593.03, 2,198.67 and 963.90 is: 1,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.03 : 2,198.67 = 963.90 : x
  2. Step 2: Convert to fraction form
    1,593.03/2,198.67 = 963.90/x
  3. Step 3: Cross multiply
    1,593.03x = 2,198.67 × 963.90
  4. Step 4: Simplify right side
    1,593.03x = 2,119,298.01
  5. Step 5: Solve for x
    x = 2,119,298.01/1,593.03
  6. Step 6: Final answer
    x = 1,330.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.