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Finding the Fourth Proportional to 3,131.96, 4,322.82 and 1,952.81

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Solution

The fourth proportional to 3,131.96, 4,322.82 and 1,952.81 is: 2,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.96 : 4,322.82 = 1,952.81 : x
  2. Step 2: Convert to fraction form
    3,131.96/4,322.82 = 1,952.81/x
  3. Step 3: Cross multiply
    3,131.96x = 4,322.82 × 1,952.81
  4. Step 4: Simplify right side
    3,131.96x = 8,441,624.51
  5. Step 5: Solve for x
    x = 8,441,624.51/3,131.96
  6. Step 6: Final answer
    x = 2,695.32

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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.