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Finding the Fourth Proportional to 1,616.87, 2,426.53 and 1,296.11

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Solution

The fourth proportional to 1,616.87, 2,426.53 and 1,296.11 is: 1,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.87 : 2,426.53 = 1,296.11 : x
  2. Step 2: Convert to fraction form
    1,616.87/2,426.53 = 1,296.11/x
  3. Step 3: Cross multiply
    1,616.87x = 2,426.53 × 1,296.11
  4. Step 4: Simplify right side
    1,616.87x = 3,145,049.80
  5. Step 5: Solve for x
    x = 3,145,049.80/1,616.87
  6. Step 6: Final answer
    x = 1,945.15

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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.