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Finding the Fourth Proportional to 2,639.85, 3,958.69 and 995.51

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Solution

The fourth proportional to 2,639.85, 3,958.69 and 995.51 is: 1,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.85 : 3,958.69 = 995.51 : x
  2. Step 2: Convert to fraction form
    2,639.85/3,958.69 = 995.51/x
  3. Step 3: Cross multiply
    2,639.85x = 3,958.69 × 995.51
  4. Step 4: Simplify right side
    2,639.85x = 3,940,915.48
  5. Step 5: Solve for x
    x = 3,940,915.48/2,639.85
  6. Step 6: Final answer
    x = 1,492.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.