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Finding the Fourth Proportional to 3,219.70, 4,828.77 and 1,486.66

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Solution

The fourth proportional to 3,219.70, 4,828.77 and 1,486.66 is: 2,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.70 : 4,828.77 = 1,486.66 : x
  2. Step 2: Convert to fraction form
    3,219.70/4,828.77 = 1,486.66/x
  3. Step 3: Cross multiply
    3,219.70x = 4,828.77 × 1,486.66
  4. Step 4: Simplify right side
    3,219.70x = 7,178,739.21
  5. Step 5: Solve for x
    x = 7,178,739.21/3,219.70
  6. Step 6: Final answer
    x = 2,229.63

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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.