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Finding the Fourth Proportional to 1,447.81, 2,171.69 and 352.19

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Solution

The fourth proportional to 1,447.81, 2,171.69 and 352.19 is: 528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.81 : 2,171.69 = 352.19 : x
  2. Step 2: Convert to fraction form
    1,447.81/2,171.69 = 352.19/x
  3. Step 3: Cross multiply
    1,447.81x = 2,171.69 × 352.19
  4. Step 4: Simplify right side
    1,447.81x = 764,837.52
  5. Step 5: Solve for x
    x = 764,837.52/1,447.81
  6. Step 6: Final answer
    x = 528.27

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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.