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Finding the Fourth Proportional to 4,172.31, 6,260.21 and 1,831.11

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Solution

The fourth proportional to 4,172.31, 6,260.21 and 1,831.11 is: 2,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.31 : 6,260.21 = 1,831.11 : x
  2. Step 2: Convert to fraction form
    4,172.31/6,260.21 = 1,831.11/x
  3. Step 3: Cross multiply
    4,172.31x = 6,260.21 × 1,831.11
  4. Step 4: Simplify right side
    4,172.31x = 11,463,137.71
  5. Step 5: Solve for x
    x = 11,463,137.71/4,172.31
  6. Step 6: Final answer
    x = 2,747.43

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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.