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Finding the Fourth Proportional to 2,857.56, 4,286.10 and 777.82

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Solution

The fourth proportional to 2,857.56, 4,286.10 and 777.82 is: 1,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.56 : 4,286.10 = 777.82 : x
  2. Step 2: Convert to fraction form
    2,857.56/4,286.10 = 777.82/x
  3. Step 3: Cross multiply
    2,857.56x = 4,286.10 × 777.82
  4. Step 4: Simplify right side
    2,857.56x = 3,333,814.30
  5. Step 5: Solve for x
    x = 3,333,814.30/2,857.56
  6. Step 6: Final answer
    x = 1,166.66

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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.