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Finding the Fourth Proportional to 2,271.72, 3,405.42 and 1,447.68

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Solution

The fourth proportional to 2,271.72, 3,405.42 and 1,447.68 is: 2,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.72 : 3,405.42 = 1,447.68 : x
  2. Step 2: Convert to fraction form
    2,271.72/3,405.42 = 1,447.68/x
  3. Step 3: Cross multiply
    2,271.72x = 3,405.42 × 1,447.68
  4. Step 4: Simplify right side
    2,271.72x = 4,929,958.43
  5. Step 5: Solve for x
    x = 4,929,958.43/2,271.72
  6. Step 6: Final answer
    x = 2,170.14

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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.