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Finding the Fourth Proportional to 2,801.27, 3,857.27 and 2,537.61

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Solution

The fourth proportional to 2,801.27, 3,857.27 and 2,537.61 is: 3,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.27 : 3,857.27 = 2,537.61 : x
  2. Step 2: Convert to fraction form
    2,801.27/3,857.27 = 2,537.61/x
  3. Step 3: Cross multiply
    2,801.27x = 3,857.27 × 2,537.61
  4. Step 4: Simplify right side
    2,801.27x = 9,788,234.24
  5. Step 5: Solve for x
    x = 9,788,234.24/2,801.27
  6. Step 6: Final answer
    x = 3,494.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.