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Finding the Fourth Proportional to 2,639.16, 3,960.32 and 995.68

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Solution

The fourth proportional to 2,639.16, 3,960.32 and 995.68 is: 1,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.16 : 3,960.32 = 995.68 : x
  2. Step 2: Convert to fraction form
    2,639.16/3,960.32 = 995.68/x
  3. Step 3: Cross multiply
    2,639.16x = 3,960.32 × 995.68
  4. Step 4: Simplify right side
    2,639.16x = 3,943,211.42
  5. Step 5: Solve for x
    x = 3,943,211.42/2,639.16
  6. Step 6: Final answer
    x = 1,494.12

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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.