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Finding the Fourth Proportional to 2,012.52, 3,017.34 and 857.64

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Solution

The fourth proportional to 2,012.52, 3,017.34 and 857.64 is: 1,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.52 : 3,017.34 = 857.64 : x
  2. Step 2: Convert to fraction form
    2,012.52/3,017.34 = 857.64/x
  3. Step 3: Cross multiply
    2,012.52x = 3,017.34 × 857.64
  4. Step 4: Simplify right side
    2,012.52x = 2,587,791.48
  5. Step 5: Solve for x
    x = 2,587,791.48/2,012.52
  6. Step 6: Final answer
    x = 1,285.85

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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.