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Finding the Fourth Proportional to 3,490.98, 4,816.20 and 1,998.12

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Solution

The fourth proportional to 3,490.98, 4,816.20 and 1,998.12 is: 2,756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.98 : 4,816.20 = 1,998.12 : x
  2. Step 2: Convert to fraction form
    3,490.98/4,816.20 = 1,998.12/x
  3. Step 3: Cross multiply
    3,490.98x = 4,816.20 × 1,998.12
  4. Step 4: Simplify right side
    3,490.98x = 9,623,345.54
  5. Step 5: Solve for x
    x = 9,623,345.54/3,490.98
  6. Step 6: Final answer
    x = 2,756.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.