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Finding the Fourth Proportional to 3,221.70, 4,831.20 and 1,578.75

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Solution

The fourth proportional to 3,221.70, 4,831.20 and 1,578.75 is: 2,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.70 : 4,831.20 = 1,578.75 : x
  2. Step 2: Convert to fraction form
    3,221.70/4,831.20 = 1,578.75/x
  3. Step 3: Cross multiply
    3,221.70x = 4,831.20 × 1,578.75
  4. Step 4: Simplify right side
    3,221.70x = 7,627,257
  5. Step 5: Solve for x
    x = 7,627,257/3,221.70
  6. Step 6: Final answer
    x = 2,367.46

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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.