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Finding the Fourth Proportional to 2,095.27, 3,142.92 and 634.44

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Solution

The fourth proportional to 2,095.27, 3,142.92 and 634.44 is: 951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.27 : 3,142.92 = 634.44 : x
  2. Step 2: Convert to fraction form
    2,095.27/3,142.92 = 634.44/x
  3. Step 3: Cross multiply
    2,095.27x = 3,142.92 × 634.44
  4. Step 4: Simplify right side
    2,095.27x = 1,993,987.08
  5. Step 5: Solve for x
    x = 1,993,987.08/2,095.27
  6. Step 6: Final answer
    x = 951.66

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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.