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Finding the Fourth Proportional to 2,680.58, 4,020.24 and 831.71

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Solution

The fourth proportional to 2,680.58, 4,020.24 and 831.71 is: 1,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.58 : 4,020.24 = 831.71 : x
  2. Step 2: Convert to fraction form
    2,680.58/4,020.24 = 831.71/x
  3. Step 3: Cross multiply
    2,680.58x = 4,020.24 × 831.71
  4. Step 4: Simplify right side
    2,680.58x = 3,343,673.81
  5. Step 5: Solve for x
    x = 3,343,673.81/2,680.58
  6. Step 6: Final answer
    x = 1,247.37

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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.