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Finding the Fourth Proportional to 2,095.92, 3,142.68 and 634.64

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Solution

The fourth proportional to 2,095.92, 3,142.68 and 634.64 is: 951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.92 : 3,142.68 = 634.64 : x
  2. Step 2: Convert to fraction form
    2,095.92/3,142.68 = 634.64/x
  3. Step 3: Cross multiply
    2,095.92x = 3,142.68 × 634.64
  4. Step 4: Simplify right side
    2,095.92x = 1,994,470.44
  5. Step 5: Solve for x
    x = 1,994,470.44/2,095.92
  6. Step 6: Final answer
    x = 951.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.