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Finding the Fourth Proportional to 1,834.43, 2,761.94 and 1,616.42

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Solution

The fourth proportional to 1,834.43, 2,761.94 and 1,616.42 is: 2,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.43 : 2,761.94 = 1,616.42 : x
  2. Step 2: Convert to fraction form
    1,834.43/2,761.94 = 1,616.42/x
  3. Step 3: Cross multiply
    1,834.43x = 2,761.94 × 1,616.42
  4. Step 4: Simplify right side
    1,834.43x = 4,464,444.47
  5. Step 5: Solve for x
    x = 4,464,444.47/1,834.43
  6. Step 6: Final answer
    x = 2,433.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.