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Finding the Fourth Proportional to 2,639.88, 3,957.66 and 995.49

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Solution

The fourth proportional to 2,639.88, 3,957.66 and 995.49 is: 1,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.88 : 3,957.66 = 995.49 : x
  2. Step 2: Convert to fraction form
    2,639.88/3,957.66 = 995.49/x
  3. Step 3: Cross multiply
    2,639.88x = 3,957.66 × 995.49
  4. Step 4: Simplify right side
    2,639.88x = 3,939,810.95
  5. Step 5: Solve for x
    x = 3,939,810.95/2,639.88
  6. Step 6: Final answer
    x = 1,492.42

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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.