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Finding the Fourth Proportional to 2,573.25, 3,854.61 and 1,338.41

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Solution

The fourth proportional to 2,573.25, 3,854.61 and 1,338.41 is: 2,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.25 : 3,854.61 = 1,338.41 : x
  2. Step 2: Convert to fraction form
    2,573.25/3,854.61 = 1,338.41/x
  3. Step 3: Cross multiply
    2,573.25x = 3,854.61 × 1,338.41
  4. Step 4: Simplify right side
    2,573.25x = 5,159,029.30
  5. Step 5: Solve for x
    x = 5,159,029.30/2,573.25
  6. Step 6: Final answer
    x = 2,004.87

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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.