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Finding the Fourth Proportional to 2,089.93, 2,884.09 and 1,145.73

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Solution

The fourth proportional to 2,089.93, 2,884.09 and 1,145.73 is: 1,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.93 : 2,884.09 = 1,145.73 : x
  2. Step 2: Convert to fraction form
    2,089.93/2,884.09 = 1,145.73/x
  3. Step 3: Cross multiply
    2,089.93x = 2,884.09 × 1,145.73
  4. Step 4: Simplify right side
    2,089.93x = 3,304,388.44
  5. Step 5: Solve for x
    x = 3,304,388.44/2,089.93
  6. Step 6: Final answer
    x = 1,581.10

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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.