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Finding the Fourth Proportional to 3,154.93, 4,732.40 and 1,998.25

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Solution

The fourth proportional to 3,154.93, 4,732.40 and 1,998.25 is: 2,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.93 : 4,732.40 = 1,998.25 : x
  2. Step 2: Convert to fraction form
    3,154.93/4,732.40 = 1,998.25/x
  3. Step 3: Cross multiply
    3,154.93x = 4,732.40 × 1,998.25
  4. Step 4: Simplify right side
    3,154.93x = 9,456,508.31
  5. Step 5: Solve for x
    x = 9,456,508.31/3,154.93
  6. Step 6: Final answer
    x = 2,997.38

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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.