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Finding the Fourth Proportional to 1,617.19, 2,427 and 1,296.43

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Solution

The fourth proportional to 1,617.19, 2,427 and 1,296.43 is: 1,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.19 : 2,427 = 1,296.43 : x
  2. Step 2: Convert to fraction form
    1,617.19/2,427 = 1,296.43/x
  3. Step 3: Cross multiply
    1,617.19x = 2,427 × 1,296.43
  4. Step 4: Simplify right side
    1,617.19x = 3,146,429.54
  5. Step 5: Solve for x
    x = 3,146,429.54/1,617.19
  6. Step 6: Final answer
    x = 1,945.62

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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.