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Finding the Fourth Proportional to 2,874.83, 4,311.35 and 1,906.07

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Solution

The fourth proportional to 2,874.83, 4,311.35 and 1,906.07 is: 2,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.83 : 4,311.35 = 1,906.07 : x
  2. Step 2: Convert to fraction form
    2,874.83/4,311.35 = 1,906.07/x
  3. Step 3: Cross multiply
    2,874.83x = 4,311.35 × 1,906.07
  4. Step 4: Simplify right side
    2,874.83x = 8,217,725.36
  5. Step 5: Solve for x
    x = 8,217,725.36/2,874.83
  6. Step 6: Final answer
    x = 2,858.51

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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.