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Finding the Fourth Proportional to 2,727.68, 4,088.98 and 995

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Solution

The fourth proportional to 2,727.68, 4,088.98 and 995 is: 1,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.68 : 4,088.98 = 995 : x
  2. Step 2: Convert to fraction form
    2,727.68/4,088.98 = 995/x
  3. Step 3: Cross multiply
    2,727.68x = 4,088.98 × 995
  4. Step 4: Simplify right side
    2,727.68x = 4,068,535.10
  5. Step 5: Solve for x
    x = 4,068,535.10/2,727.68
  6. Step 6: Final answer
    x = 1,491.57

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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.