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Finding the Fourth Proportional to 3,219.71, 4,820.47 and 2,046.80

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Solution

The fourth proportional to 3,219.71, 4,820.47 and 2,046.80 is: 3,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.71 : 4,820.47 = 2,046.80 : x
  2. Step 2: Convert to fraction form
    3,219.71/4,820.47 = 2,046.80/x
  3. Step 3: Cross multiply
    3,219.71x = 4,820.47 × 2,046.80
  4. Step 4: Simplify right side
    3,219.71x = 9,866,544.93
  5. Step 5: Solve for x
    x = 9,866,544.93/3,219.71
  6. Step 6: Final answer
    x = 3,064.43

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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.