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Finding the Fourth Proportional to 3,046.68, 4,205.10 and 1,998.14

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Solution

The fourth proportional to 3,046.68, 4,205.10 and 1,998.14 is: 2,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.68 : 4,205.10 = 1,998.14 : x
  2. Step 2: Convert to fraction form
    3,046.68/4,205.10 = 1,998.14/x
  3. Step 3: Cross multiply
    3,046.68x = 4,205.10 × 1,998.14
  4. Step 4: Simplify right side
    3,046.68x = 8,402,378.51
  5. Step 5: Solve for x
    x = 8,402,378.51/3,046.68
  6. Step 6: Final answer
    x = 2,757.88

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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.