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Finding the Fourth Proportional to 1,593.40, 2,198.70 and 885.24

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Solution

The fourth proportional to 1,593.40, 2,198.70 and 885.24 is: 1,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.40 : 2,198.70 = 885.24 : x
  2. Step 2: Convert to fraction form
    1,593.40/2,198.70 = 885.24/x
  3. Step 3: Cross multiply
    1,593.40x = 2,198.70 × 885.24
  4. Step 4: Simplify right side
    1,593.40x = 1,946,377.19
  5. Step 5: Solve for x
    x = 1,946,377.19/1,593.40
  6. Step 6: Final answer
    x = 1,221.52

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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.