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Finding the Fourth Proportional to 2,284.81, 3,427.31 and 969.17

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Solution

The fourth proportional to 2,284.81, 3,427.31 and 969.17 is: 1,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.81 : 3,427.31 = 969.17 : x
  2. Step 2: Convert to fraction form
    2,284.81/3,427.31 = 969.17/x
  3. Step 3: Cross multiply
    2,284.81x = 3,427.31 × 969.17
  4. Step 4: Simplify right side
    2,284.81x = 3,321,631.32
  5. Step 5: Solve for x
    x = 3,321,631.32/2,284.81
  6. Step 6: Final answer
    x = 1,453.79

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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.