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Finding the Fourth Proportional to 2,805.35, 3,871.04 and 1,610.27

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Solution

The fourth proportional to 2,805.35, 3,871.04 and 1,610.27 is: 2,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.35 : 3,871.04 = 1,610.27 : x
  2. Step 2: Convert to fraction form
    2,805.35/3,871.04 = 1,610.27/x
  3. Step 3: Cross multiply
    2,805.35x = 3,871.04 × 1,610.27
  4. Step 4: Simplify right side
    2,805.35x = 6,233,433.28
  5. Step 5: Solve for x
    x = 6,233,433.28/2,805.35
  6. Step 6: Final answer
    x = 2,221.98

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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.