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Finding the Fourth Proportional to 3,147.93, 4,344.21 and 1,731.69

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Solution

The fourth proportional to 3,147.93, 4,344.21 and 1,731.69 is: 2,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.93 : 4,344.21 = 1,731.69 : x
  2. Step 2: Convert to fraction form
    3,147.93/4,344.21 = 1,731.69/x
  3. Step 3: Cross multiply
    3,147.93x = 4,344.21 × 1,731.69
  4. Step 4: Simplify right side
    3,147.93x = 7,522,825.01
  5. Step 5: Solve for x
    x = 7,522,825.01/3,147.93
  6. Step 6: Final answer
    x = 2,389.77

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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.