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Finding the Fourth Proportional to 1,917.25, 2,874.27 and 600.17

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Solution

The fourth proportional to 1,917.25, 2,874.27 and 600.17 is: 899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.25 : 2,874.27 = 600.17 : x
  2. Step 2: Convert to fraction form
    1,917.25/2,874.27 = 600.17/x
  3. Step 3: Cross multiply
    1,917.25x = 2,874.27 × 600.17
  4. Step 4: Simplify right side
    1,917.25x = 1,725,057.87
  5. Step 5: Solve for x
    x = 1,725,057.87/1,917.25
  6. Step 6: Final answer
    x = 899.76

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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.