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Finding the Fourth Proportional to 2,850.70, 4,278.21 and 1,924.06

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Solution

The fourth proportional to 2,850.70, 4,278.21 and 1,924.06 is: 2,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.70 : 4,278.21 = 1,924.06 : x
  2. Step 2: Convert to fraction form
    2,850.70/4,278.21 = 1,924.06/x
  3. Step 3: Cross multiply
    2,850.70x = 4,278.21 × 1,924.06
  4. Step 4: Simplify right side
    2,850.70x = 8,231,532.73
  5. Step 5: Solve for x
    x = 8,231,532.73/2,850.70
  6. Step 6: Final answer
    x = 2,887.55

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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.