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Finding the Fourth Proportional to 3,220.66, 4,831.16 and 1,029.22

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Solution

The fourth proportional to 3,220.66, 4,831.16 and 1,029.22 is: 1,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.66 : 4,831.16 = 1,029.22 : x
  2. Step 2: Convert to fraction form
    3,220.66/4,831.16 = 1,029.22/x
  3. Step 3: Cross multiply
    3,220.66x = 4,831.16 × 1,029.22
  4. Step 4: Simplify right side
    3,220.66x = 4,972,309.27
  5. Step 5: Solve for x
    x = 4,972,309.27/3,220.66
  6. Step 6: Final answer
    x = 1,543.88

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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.