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Finding the Fourth Proportional to 2,089.88, 2,884.01 and 1,145.73

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Solution

The fourth proportional to 2,089.88, 2,884.01 and 1,145.73 is: 1,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.88 : 2,884.01 = 1,145.73 : x
  2. Step 2: Convert to fraction form
    2,089.88/2,884.01 = 1,145.73/x
  3. Step 3: Cross multiply
    2,089.88x = 2,884.01 × 1,145.73
  4. Step 4: Simplify right side
    2,089.88x = 3,304,286.81
  5. Step 5: Solve for x
    x = 3,304,286.81/2,089.88
  6. Step 6: Final answer
    x = 1,581.09

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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.