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Finding the Fourth Proportional to 2,175.20, 3,253.20 and 1,829.60

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Solution

The fourth proportional to 2,175.20, 3,253.20 and 1,829.60 is: 2,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.20 : 3,253.20 = 1,829.60 : x
  2. Step 2: Convert to fraction form
    2,175.20/3,253.20 = 1,829.60/x
  3. Step 3: Cross multiply
    2,175.20x = 3,253.20 × 1,829.60
  4. Step 4: Simplify right side
    2,175.20x = 5,952,054.72
  5. Step 5: Solve for x
    x = 5,952,054.72/2,175.20
  6. Step 6: Final answer
    x = 2,736.33

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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.