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Finding the Fourth Proportional to 2,829.52, 3,903.01 and 2,031.27

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Solution

The fourth proportional to 2,829.52, 3,903.01 and 2,031.27 is: 2,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.52 : 3,903.01 = 2,031.27 : x
  2. Step 2: Convert to fraction form
    2,829.52/3,903.01 = 2,031.27/x
  3. Step 3: Cross multiply
    2,829.52x = 3,903.01 × 2,031.27
  4. Step 4: Simplify right side
    2,829.52x = 7,928,067.12
  5. Step 5: Solve for x
    x = 7,928,067.12/2,829.52
  6. Step 6: Final answer
    x = 2,801.91

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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.