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Finding the Fourth Proportional to 2,095.74, 3,142.60 and 634.57

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Solution

The fourth proportional to 2,095.74, 3,142.60 and 634.57 is: 951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.74 : 3,142.60 = 634.57 : x
  2. Step 2: Convert to fraction form
    2,095.74/3,142.60 = 634.57/x
  3. Step 3: Cross multiply
    2,095.74x = 3,142.60 × 634.57
  4. Step 4: Simplify right side
    2,095.74x = 1,994,190.24
  5. Step 5: Solve for x
    x = 1,994,190.24/2,095.74
  6. Step 6: Final answer
    x = 951.54

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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.