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Finding the Fourth Proportional to 1,592.81, 2,198.97 and 1,033.77

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Solution

The fourth proportional to 1,592.81, 2,198.97 and 1,033.77 is: 1,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.81 : 2,198.97 = 1,033.77 : x
  2. Step 2: Convert to fraction form
    1,592.81/2,198.97 = 1,033.77/x
  3. Step 3: Cross multiply
    1,592.81x = 2,198.97 × 1,033.77
  4. Step 4: Simplify right side
    1,592.81x = 2,273,229.22
  5. Step 5: Solve for x
    x = 2,273,229.22/1,592.81
  6. Step 6: Final answer
    x = 1,427.19

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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.