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Finding the Fourth Proportional to 2,305.97, 3,464.89 and 1,917.17

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Solution

The fourth proportional to 2,305.97, 3,464.89 and 1,917.17 is: 2,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.97 : 3,464.89 = 1,917.17 : x
  2. Step 2: Convert to fraction form
    2,305.97/3,464.89 = 1,917.17/x
  3. Step 3: Cross multiply
    2,305.97x = 3,464.89 × 1,917.17
  4. Step 4: Simplify right side
    2,305.97x = 6,642,761.04
  5. Step 5: Solve for x
    x = 6,642,761.04/2,305.97
  6. Step 6: Final answer
    x = 2,880.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.