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Finding the Fourth Proportional to 3,147.60, 4,343.64 and 1,731.22

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Solution

The fourth proportional to 3,147.60, 4,343.64 and 1,731.22 is: 2,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.60 : 4,343.64 = 1,731.22 : x
  2. Step 2: Convert to fraction form
    3,147.60/4,343.64 = 1,731.22/x
  3. Step 3: Cross multiply
    3,147.60x = 4,343.64 × 1,731.22
  4. Step 4: Simplify right side
    3,147.60x = 7,519,796.44
  5. Step 5: Solve for x
    x = 7,519,796.44/3,147.60
  6. Step 6: Final answer
    x = 2,389.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.