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Finding the Fourth Proportional to 2,147.22, 3,220.02 and 831.06

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Solution

The fourth proportional to 2,147.22, 3,220.02 and 831.06 is: 1,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.22 : 3,220.02 = 831.06 : x
  2. Step 2: Convert to fraction form
    2,147.22/3,220.02 = 831.06/x
  3. Step 3: Cross multiply
    2,147.22x = 3,220.02 × 831.06
  4. Step 4: Simplify right side
    2,147.22x = 2,676,029.82
  5. Step 5: Solve for x
    x = 2,676,029.82/2,147.22
  6. Step 6: Final answer
    x = 1,246.28

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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.