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Finding the Fourth Proportional to 2,427.81, 3,639.52 and 967.96

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Solution

The fourth proportional to 2,427.81, 3,639.52 and 967.96 is: 1,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.81 : 3,639.52 = 967.96 : x
  2. Step 2: Convert to fraction form
    2,427.81/3,639.52 = 967.96/x
  3. Step 3: Cross multiply
    2,427.81x = 3,639.52 × 967.96
  4. Step 4: Simplify right side
    2,427.81x = 3,522,909.78
  5. Step 5: Solve for x
    x = 3,522,909.78/2,427.81
  6. Step 6: Final answer
    x = 1,451.06

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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.