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Finding the Fourth Proportional to 2,427.71, 3,643.11 and 966.94

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Solution

The fourth proportional to 2,427.71, 3,643.11 and 966.94 is: 1,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.71 : 3,643.11 = 966.94 : x
  2. Step 2: Convert to fraction form
    2,427.71/3,643.11 = 966.94/x
  3. Step 3: Cross multiply
    2,427.71x = 3,643.11 × 966.94
  4. Step 4: Simplify right side
    2,427.71x = 3,522,659.68
  5. Step 5: Solve for x
    x = 3,522,659.68/2,427.71
  6. Step 6: Final answer
    x = 1,451.02

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