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Finding the Fourth Proportional to 2,095.16, 3,142.64 and 634.43

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Solution

The fourth proportional to 2,095.16, 3,142.64 and 634.43 is: 951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.16 : 3,142.64 = 634.43 : x
  2. Step 2: Convert to fraction form
    2,095.16/3,142.64 = 634.43/x
  3. Step 3: Cross multiply
    2,095.16x = 3,142.64 × 634.43
  4. Step 4: Simplify right side
    2,095.16x = 1,993,769.38
  5. Step 5: Solve for x
    x = 1,993,769.38/2,095.16
  6. Step 6: Final answer
    x = 951.61

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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.