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Finding the Fourth Proportional to 2,857.44, 4,276.42 and 2,395.74

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Solution

The fourth proportional to 2,857.44, 4,276.42 and 2,395.74 is: 3,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.44 : 4,276.42 = 2,395.74 : x
  2. Step 2: Convert to fraction form
    2,857.44/4,276.42 = 2,395.74/x
  3. Step 3: Cross multiply
    2,857.44x = 4,276.42 × 2,395.74
  4. Step 4: Simplify right side
    2,857.44x = 10,245,190.45
  5. Step 5: Solve for x
    x = 10,245,190.45/2,857.44
  6. Step 6: Final answer
    x = 3,585.44

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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.