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Finding the Fourth Proportional to 1,448.25, 2,172.37 and 352.61

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Solution

The fourth proportional to 1,448.25, 2,172.37 and 352.61 is: 528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.25 : 2,172.37 = 352.61 : x
  2. Step 2: Convert to fraction form
    1,448.25/2,172.37 = 352.61/x
  3. Step 3: Cross multiply
    1,448.25x = 2,172.37 × 352.61
  4. Step 4: Simplify right side
    1,448.25x = 765,999.39
  5. Step 5: Solve for x
    x = 765,999.39/1,448.25
  6. Step 6: Final answer
    x = 528.92

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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.