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Finding the Fourth Proportional to 2,727.12, 4,091.04 and 995.16

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Solution

The fourth proportional to 2,727.12, 4,091.04 and 995.16 is: 1,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.12 : 4,091.04 = 995.16 : x
  2. Step 2: Convert to fraction form
    2,727.12/4,091.04 = 995.16/x
  3. Step 3: Cross multiply
    2,727.12x = 4,091.04 × 995.16
  4. Step 4: Simplify right side
    2,727.12x = 4,071,239.37
  5. Step 5: Solve for x
    x = 4,071,239.37/2,727.12
  6. Step 6: Final answer
    x = 1,492.87

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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.