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Finding the Fourth Proportional to 2,172.12, 3,260.07 and 1,829.22

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Solution

The fourth proportional to 2,172.12, 3,260.07 and 1,829.22 is: 2,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.12 : 3,260.07 = 1,829.22 : x
  2. Step 2: Convert to fraction form
    2,172.12/3,260.07 = 1,829.22/x
  3. Step 3: Cross multiply
    2,172.12x = 3,260.07 × 1,829.22
  4. Step 4: Simplify right side
    2,172.12x = 5,963,385.25
  5. Step 5: Solve for x
    x = 5,963,385.25/2,172.12
  6. Step 6: Final answer
    x = 2,745.42

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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.