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Finding the Fourth Proportional to 2,095.46, 3,143.37 and 634.63

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Solution

The fourth proportional to 2,095.46, 3,143.37 and 634.63 is: 951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.46 : 3,143.37 = 634.63 : x
  2. Step 2: Convert to fraction form
    2,095.46/3,143.37 = 634.63/x
  3. Step 3: Cross multiply
    2,095.46x = 3,143.37 × 634.63
  4. Step 4: Simplify right side
    2,095.46x = 1,994,869.04
  5. Step 5: Solve for x
    x = 1,994,869.04/2,095.46
  6. Step 6: Final answer
    x = 951.99

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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.