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Finding the Fourth Proportional to 2,406.87, 3,322.67 and 1,867.31

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Solution

The fourth proportional to 2,406.87, 3,322.67 and 1,867.31 is: 2,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.87 : 3,322.67 = 1,867.31 : x
  2. Step 2: Convert to fraction form
    2,406.87/3,322.67 = 1,867.31/x
  3. Step 3: Cross multiply
    2,406.87x = 3,322.67 × 1,867.31
  4. Step 4: Simplify right side
    2,406.87x = 6,204,428.97
  5. Step 5: Solve for x
    x = 6,204,428.97/2,406.87
  6. Step 6: Final answer
    x = 2,577.80

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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.