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Finding the Fourth Proportional to 2,857.14, 4,279.06 and 2,778.32

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Solution

The fourth proportional to 2,857.14, 4,279.06 and 2,778.32 is: 4,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.14 : 4,279.06 = 2,778.32 : x
  2. Step 2: Convert to fraction form
    2,857.14/4,279.06 = 2,778.32/x
  3. Step 3: Cross multiply
    2,857.14x = 4,279.06 × 2,778.32
  4. Step 4: Simplify right side
    2,857.14x = 11,888,601.73
  5. Step 5: Solve for x
    x = 11,888,601.73/2,857.14
  6. Step 6: Final answer
    x = 4,161.01

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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.