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Finding the Fourth Proportional to 2,589.82, 3,885.53 and 1,666.42

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Solution

The fourth proportional to 2,589.82, 3,885.53 and 1,666.42 is: 2,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.82 : 3,885.53 = 1,666.42 : x
  2. Step 2: Convert to fraction form
    2,589.82/3,885.53 = 1,666.42/x
  3. Step 3: Cross multiply
    2,589.82x = 3,885.53 × 1,666.42
  4. Step 4: Simplify right side
    2,589.82x = 6,474,906.86
  5. Step 5: Solve for x
    x = 6,474,906.86/2,589.82
  6. Step 6: Final answer
    x = 2,500.14

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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.