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Finding the Fourth Proportional to 2,601.82, 3,903.30 and 847

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Solution

The fourth proportional to 2,601.82, 3,903.30 and 847 is: 1,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.82 : 3,903.30 = 847 : x
  2. Step 2: Convert to fraction form
    2,601.82/3,903.30 = 847/x
  3. Step 3: Cross multiply
    2,601.82x = 3,903.30 × 847
  4. Step 4: Simplify right side
    2,601.82x = 3,306,095.10
  5. Step 5: Solve for x
    x = 3,306,095.10/2,601.82
  6. Step 6: Final answer
    x = 1,270.69

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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.