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Finding the Fourth Proportional to 2,680.44, 4,021.23 and 831.51

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Solution

The fourth proportional to 2,680.44, 4,021.23 and 831.51 is: 1,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.44 : 4,021.23 = 831.51 : x
  2. Step 2: Convert to fraction form
    2,680.44/4,021.23 = 831.51/x
  3. Step 3: Cross multiply
    2,680.44x = 4,021.23 × 831.51
  4. Step 4: Simplify right side
    2,680.44x = 3,343,692.96
  5. Step 5: Solve for x
    x = 3,343,692.96/2,680.44
  6. Step 6: Final answer
    x = 1,247.44

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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.