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Finding the Fourth Proportional to 2,464.50, 3,696.87 and 733.14

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Solution

The fourth proportional to 2,464.50, 3,696.87 and 733.14 is: 1,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.50 : 3,696.87 = 733.14 : x
  2. Step 2: Convert to fraction form
    2,464.50/3,696.87 = 733.14/x
  3. Step 3: Cross multiply
    2,464.50x = 3,696.87 × 733.14
  4. Step 4: Simplify right side
    2,464.50x = 2,710,323.27
  5. Step 5: Solve for x
    x = 2,710,323.27/2,464.50
  6. Step 6: Final answer
    x = 1,099.75

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Why These Related Problems?

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