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Finding the Fourth Proportional to 2,589.48, 3,881.46 and 1,884.96

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Solution

The fourth proportional to 2,589.48, 3,881.46 and 1,884.96 is: 2,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.48 : 3,881.46 = 1,884.96 : x
  2. Step 2: Convert to fraction form
    2,589.48/3,881.46 = 1,884.96/x
  3. Step 3: Cross multiply
    2,589.48x = 3,881.46 × 1,884.96
  4. Step 4: Simplify right side
    2,589.48x = 7,316,396.84
  5. Step 5: Solve for x
    x = 7,316,396.84/2,589.48
  6. Step 6: Final answer
    x = 2,825.43

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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.