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Finding the Fourth Proportional to 2,131.88, 3,198.08 and 592.88

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Solution

The fourth proportional to 2,131.88, 3,198.08 and 592.88 is: 889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.88 : 3,198.08 = 592.88 : x
  2. Step 2: Convert to fraction form
    2,131.88/3,198.08 = 592.88/x
  3. Step 3: Cross multiply
    2,131.88x = 3,198.08 × 592.88
  4. Step 4: Simplify right side
    2,131.88x = 1,896,063.16
  5. Step 5: Solve for x
    x = 1,896,063.16/2,131.88
  6. Step 6: Final answer
    x = 889.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.