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Finding the Fourth Proportional to 2,094.62, 3,141.99 and 998.42

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Solution

The fourth proportional to 2,094.62, 3,141.99 and 998.42 is: 1,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.62 : 3,141.99 = 998.42 : x
  2. Step 2: Convert to fraction form
    2,094.62/3,141.99 = 998.42/x
  3. Step 3: Cross multiply
    2,094.62x = 3,141.99 × 998.42
  4. Step 4: Simplify right side
    2,094.62x = 3,137,009.95
  5. Step 5: Solve for x
    x = 3,137,009.95/2,094.62
  6. Step 6: Final answer
    x = 1,497.65

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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.