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Finding the Fourth Proportional to 1,616.81, 2,426.43 and 1,296.05

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Solution

The fourth proportional to 1,616.81, 2,426.43 and 1,296.05 is: 1,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.81 : 2,426.43 = 1,296.05 : x
  2. Step 2: Convert to fraction form
    1,616.81/2,426.43 = 1,296.05/x
  3. Step 3: Cross multiply
    1,616.81x = 2,426.43 × 1,296.05
  4. Step 4: Simplify right side
    1,616.81x = 3,144,776.43
  5. Step 5: Solve for x
    x = 3,144,776.43/1,616.81
  6. Step 6: Final answer
    x = 1,945.05

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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.