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Finding the Fourth Proportional to 2,414.43, 3,622.14 and 933.62

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Solution

The fourth proportional to 2,414.43, 3,622.14 and 933.62 is: 1,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.43 : 3,622.14 = 933.62 : x
  2. Step 2: Convert to fraction form
    2,414.43/3,622.14 = 933.62/x
  3. Step 3: Cross multiply
    2,414.43x = 3,622.14 × 933.62
  4. Step 4: Simplify right side
    2,414.43x = 3,381,684.24
  5. Step 5: Solve for x
    x = 3,381,684.24/2,414.43
  6. Step 6: Final answer
    x = 1,400.61

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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.