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Finding the Fourth Proportional to 2,847, 3,929.58 and 1,605.72

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Solution

The fourth proportional to 2,847, 3,929.58 and 1,605.72 is: 2,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847 : 3,929.58 = 1,605.72 : x
  2. Step 2: Convert to fraction form
    2,847/3,929.58 = 1,605.72/x
  3. Step 3: Cross multiply
    2,847x = 3,929.58 × 1,605.72
  4. Step 4: Simplify right side
    2,847x = 6,309,805.20
  5. Step 5: Solve for x
    x = 6,309,805.20/2,847
  6. Step 6: Final answer
    x = 2,216.30

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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.