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Finding the Fourth Proportional to 1,593.04, 2,198.28 and 884.82

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Solution

The fourth proportional to 1,593.04, 2,198.28 and 884.82 is: 1,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.04 : 2,198.28 = 884.82 : x
  2. Step 2: Convert to fraction form
    1,593.04/2,198.28 = 884.82/x
  3. Step 3: Cross multiply
    1,593.04x = 2,198.28 × 884.82
  4. Step 4: Simplify right side
    1,593.04x = 1,945,089.82
  5. Step 5: Solve for x
    x = 1,945,089.82/1,593.04
  6. Step 6: Final answer
    x = 1,220.99

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