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Finding the Fourth Proportional to 2,285.15, 3,428.63 and 969.19

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Solution

The fourth proportional to 2,285.15, 3,428.63 and 969.19 is: 1,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.15 : 3,428.63 = 969.19 : x
  2. Step 2: Convert to fraction form
    2,285.15/3,428.63 = 969.19/x
  3. Step 3: Cross multiply
    2,285.15x = 3,428.63 × 969.19
  4. Step 4: Simplify right side
    2,285.15x = 3,322,993.91
  5. Step 5: Solve for x
    x = 3,322,993.91/2,285.15
  6. Step 6: Final answer
    x = 1,454.17

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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.