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Finding the Fourth Proportional to 2,464.43, 3,696.66 and 733.05

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Solution

The fourth proportional to 2,464.43, 3,696.66 and 733.05 is: 1,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.43 : 3,696.66 = 733.05 : x
  2. Step 2: Convert to fraction form
    2,464.43/3,696.66 = 733.05/x
  3. Step 3: Cross multiply
    2,464.43x = 3,696.66 × 733.05
  4. Step 4: Simplify right side
    2,464.43x = 2,709,836.61
  5. Step 5: Solve for x
    x = 2,709,836.61/2,464.43
  6. Step 6: Final answer
    x = 1,099.58

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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.