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Finding the Fourth Proportional to 2,854.01, 3,939.20 and 1,857.56

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Solution

The fourth proportional to 2,854.01, 3,939.20 and 1,857.56 is: 2,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.01 : 3,939.20 = 1,857.56 : x
  2. Step 2: Convert to fraction form
    2,854.01/3,939.20 = 1,857.56/x
  3. Step 3: Cross multiply
    2,854.01x = 3,939.20 × 1,857.56
  4. Step 4: Simplify right side
    2,854.01x = 7,317,291.06
  5. Step 5: Solve for x
    x = 7,317,291.06/2,854.01
  6. Step 6: Final answer
    x = 2,563.86

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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.