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Finding the Fourth Proportional to 3,271.16, 4,906.47 and 1,079.30

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Solution

The fourth proportional to 3,271.16, 4,906.47 and 1,079.30 is: 1,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.16 : 4,906.47 = 1,079.30 : x
  2. Step 2: Convert to fraction form
    3,271.16/4,906.47 = 1,079.30/x
  3. Step 3: Cross multiply
    3,271.16x = 4,906.47 × 1,079.30
  4. Step 4: Simplify right side
    3,271.16x = 5,295,569.38
  5. Step 5: Solve for x
    x = 5,295,569.38/3,271.16
  6. Step 6: Final answer
    x = 1,618.86

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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.