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Finding the Fourth Proportional to 3,120.66, 4,678.92 and 1,271.28

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Solution

The fourth proportional to 3,120.66, 4,678.92 and 1,271.28 is: 1,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.66 : 4,678.92 = 1,271.28 : x
  2. Step 2: Convert to fraction form
    3,120.66/4,678.92 = 1,271.28/x
  3. Step 3: Cross multiply
    3,120.66x = 4,678.92 × 1,271.28
  4. Step 4: Simplify right side
    3,120.66x = 5,948,217.42
  5. Step 5: Solve for x
    x = 5,948,217.42/3,120.66
  6. Step 6: Final answer
    x = 1,906.08

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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.