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Finding the Fourth Proportional to 2,639.07, 3,959.19 and 884.14

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Solution

The fourth proportional to 2,639.07, 3,959.19 and 884.14 is: 1,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.07 : 3,959.19 = 884.14 : x
  2. Step 2: Convert to fraction form
    2,639.07/3,959.19 = 884.14/x
  3. Step 3: Cross multiply
    2,639.07x = 3,959.19 × 884.14
  4. Step 4: Simplify right side
    2,639.07x = 3,500,468.35
  5. Step 5: Solve for x
    x = 3,500,468.35/2,639.07
  6. Step 6: Final answer
    x = 1,326.40

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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.