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Finding the Fourth Proportional to 2,857.44, 3,941.28 and 1,863.30

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Solution

The fourth proportional to 2,857.44, 3,941.28 and 1,863.30 is: 2,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.44 : 3,941.28 = 1,863.30 : x
  2. Step 2: Convert to fraction form
    2,857.44/3,941.28 = 1,863.30/x
  3. Step 3: Cross multiply
    2,857.44x = 3,941.28 × 1,863.30
  4. Step 4: Simplify right side
    2,857.44x = 7,343,787.02
  5. Step 5: Solve for x
    x = 7,343,787.02/2,857.44
  6. Step 6: Final answer
    x = 2,570.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.