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Finding the Fourth Proportional to 1,593, 2,198.34 and 894.51

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Solution

The fourth proportional to 1,593, 2,198.34 and 894.51 is: 1,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593 : 2,198.34 = 894.51 : x
  2. Step 2: Convert to fraction form
    1,593/2,198.34 = 894.51/x
  3. Step 3: Cross multiply
    1,593x = 2,198.34 × 894.51
  4. Step 4: Simplify right side
    1,593x = 1,966,437.11
  5. Step 5: Solve for x
    x = 1,966,437.11/1,593
  6. Step 6: Final answer
    x = 1,234.42

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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.