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Finding the Fourth Proportional to 3,131.95, 4,322.84 and 2,069.92

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Solution

The fourth proportional to 3,131.95, 4,322.84 and 2,069.92 is: 2,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.95 : 4,322.84 = 2,069.92 : x
  2. Step 2: Convert to fraction form
    3,131.95/4,322.84 = 2,069.92/x
  3. Step 3: Cross multiply
    3,131.95x = 4,322.84 × 2,069.92
  4. Step 4: Simplify right side
    3,131.95x = 8,947,932.97
  5. Step 5: Solve for x
    x = 8,947,932.97/3,131.95
  6. Step 6: Final answer
    x = 2,856.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.