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Finding the Fourth Proportional to 2,896.26, 3,993.48 and 2,031.72

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Solution

The fourth proportional to 2,896.26, 3,993.48 and 2,031.72 is: 2,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.26 : 3,993.48 = 2,031.72 : x
  2. Step 2: Convert to fraction form
    2,896.26/3,993.48 = 2,031.72/x
  3. Step 3: Cross multiply
    2,896.26x = 3,993.48 × 2,031.72
  4. Step 4: Simplify right side
    2,896.26x = 8,113,633.19
  5. Step 5: Solve for x
    x = 8,113,633.19/2,896.26
  6. Step 6: Final answer
    x = 2,801.42

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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.