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Finding the Fourth Proportional to 2,464.78, 3,696.54 and 733

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Solution

The fourth proportional to 2,464.78, 3,696.54 and 733 is: 1,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.78 : 3,696.54 = 733 : x
  2. Step 2: Convert to fraction form
    2,464.78/3,696.54 = 733/x
  3. Step 3: Cross multiply
    2,464.78x = 3,696.54 × 733
  4. Step 4: Simplify right side
    2,464.78x = 2,709,563.82
  5. Step 5: Solve for x
    x = 2,709,563.82/2,464.78
  6. Step 6: Final answer
    x = 1,099.31

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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.