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Finding the Fourth Proportional to 2,639.70, 3,958.22 and 884.10

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Solution

The fourth proportional to 2,639.70, 3,958.22 and 884.10 is: 1,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.70 : 3,958.22 = 884.10 : x
  2. Step 2: Convert to fraction form
    2,639.70/3,958.22 = 884.10/x
  3. Step 3: Cross multiply
    2,639.70x = 3,958.22 × 884.10
  4. Step 4: Simplify right side
    2,639.70x = 3,499,462.30
  5. Step 5: Solve for x
    x = 3,499,462.30/2,639.70
  6. Step 6: Final answer
    x = 1,325.70

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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.