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Finding the Fourth Proportional to 3,174.09, 4,762.91 and 1,201.03

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Solution

The fourth proportional to 3,174.09, 4,762.91 and 1,201.03 is: 1,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.09 : 4,762.91 = 1,201.03 : x
  2. Step 2: Convert to fraction form
    3,174.09/4,762.91 = 1,201.03/x
  3. Step 3: Cross multiply
    3,174.09x = 4,762.91 × 1,201.03
  4. Step 4: Simplify right side
    3,174.09x = 5,720,388.82
  5. Step 5: Solve for x
    x = 5,720,388.82/3,174.09
  6. Step 6: Final answer
    x = 1,802.21

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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.