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Finding the Fourth Proportional to 3,131.70, 4,322.52 and 1,952.10

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Solution

The fourth proportional to 3,131.70, 4,322.52 and 1,952.10 is: 2,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.70 : 4,322.52 = 1,952.10 : x
  2. Step 2: Convert to fraction form
    3,131.70/4,322.52 = 1,952.10/x
  3. Step 3: Cross multiply
    3,131.70x = 4,322.52 × 1,952.10
  4. Step 4: Simplify right side
    3,131.70x = 8,437,991.29
  5. Step 5: Solve for x
    x = 8,437,991.29/3,131.70
  6. Step 6: Final answer
    x = 2,694.38

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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.