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Finding the Fourth Proportional to 2,857.63, 3,940.90 and 1,862.55

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Solution

The fourth proportional to 2,857.63, 3,940.90 and 1,862.55 is: 2,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.63 : 3,940.90 = 1,862.55 : x
  2. Step 2: Convert to fraction form
    2,857.63/3,940.90 = 1,862.55/x
  3. Step 3: Cross multiply
    2,857.63x = 3,940.90 × 1,862.55
  4. Step 4: Simplify right side
    2,857.63x = 7,340,123.30
  5. Step 5: Solve for x
    x = 7,340,123.30/2,857.63
  6. Step 6: Final answer
    x = 2,568.61

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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.