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Finding the Fourth Proportional to 1,817.52, 2,727.36 and 995.64

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Solution

The fourth proportional to 1,817.52, 2,727.36 and 995.64 is: 1,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.52 : 2,727.36 = 995.64 : x
  2. Step 2: Convert to fraction form
    1,817.52/2,727.36 = 995.64/x
  3. Step 3: Cross multiply
    1,817.52x = 2,727.36 × 995.64
  4. Step 4: Simplify right side
    1,817.52x = 2,715,468.71
  5. Step 5: Solve for x
    x = 2,715,468.71/1,817.52
  6. Step 6: Final answer
    x = 1,494.05

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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.