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Finding the Fourth Proportional to 3,218.54, 4,830 and 1,487.18

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Solution

The fourth proportional to 3,218.54, 4,830 and 1,487.18 is: 2,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.54 : 4,830 = 1,487.18 : x
  2. Step 2: Convert to fraction form
    3,218.54/4,830 = 1,487.18/x
  3. Step 3: Cross multiply
    3,218.54x = 4,830 × 1,487.18
  4. Step 4: Simplify right side
    3,218.54x = 7,183,079.40
  5. Step 5: Solve for x
    x = 7,183,079.40/3,218.54
  6. Step 6: Final answer
    x = 2,231.78

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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.