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Finding the Fourth Proportional to 2,095.18, 3,142.46 and 634.44

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Solution

The fourth proportional to 2,095.18, 3,142.46 and 634.44 is: 951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.18 : 3,142.46 = 634.44 : x
  2. Step 2: Convert to fraction form
    2,095.18/3,142.46 = 634.44/x
  3. Step 3: Cross multiply
    2,095.18x = 3,142.46 × 634.44
  4. Step 4: Simplify right side
    2,095.18x = 1,993,715.69
  5. Step 5: Solve for x
    x = 1,993,715.69/2,095.18
  6. Step 6: Final answer
    x = 951.57

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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.