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Finding the Fourth Proportional to 2,843.99, 4,266.70 and 995.14

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Solution

The fourth proportional to 2,843.99, 4,266.70 and 995.14 is: 1,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.99 : 4,266.70 = 995.14 : x
  2. Step 2: Convert to fraction form
    2,843.99/4,266.70 = 995.14/x
  3. Step 3: Cross multiply
    2,843.99x = 4,266.70 × 995.14
  4. Step 4: Simplify right side
    2,843.99x = 4,245,963.84
  5. Step 5: Solve for x
    x = 4,245,963.84/2,843.99
  6. Step 6: Final answer
    x = 1,492.96

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1.5x scale

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.