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Finding the Fourth Proportional to 3,404.24, 5,102.75 and 1,940.25

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Solution

The fourth proportional to 3,404.24, 5,102.75 and 1,940.25 is: 2,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.24 : 5,102.75 = 1,940.25 : x
  2. Step 2: Convert to fraction form
    3,404.24/5,102.75 = 1,940.25/x
  3. Step 3: Cross multiply
    3,404.24x = 5,102.75 × 1,940.25
  4. Step 4: Simplify right side
    3,404.24x = 9,900,600.99
  5. Step 5: Solve for x
    x = 9,900,600.99/3,404.24
  6. Step 6: Final answer
    x = 2,908.32

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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.