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Finding the Fourth Proportional to 2,857.46, 4,283.46 and 1,395.82

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Solution

The fourth proportional to 2,857.46, 4,283.46 and 1,395.82 is: 2,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.46 : 4,283.46 = 1,395.82 : x
  2. Step 2: Convert to fraction form
    2,857.46/4,283.46 = 1,395.82/x
  3. Step 3: Cross multiply
    2,857.46x = 4,283.46 × 1,395.82
  4. Step 4: Simplify right side
    2,857.46x = 5,978,928.43
  5. Step 5: Solve for x
    x = 5,978,928.43/2,857.46
  6. Step 6: Final answer
    x = 2,092.39

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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.