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Finding the Fourth Proportional to 2,589.46, 3,877.86 and 2,425.48

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Solution

The fourth proportional to 2,589.46, 3,877.86 and 2,425.48 is: 3,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.46 : 3,877.86 = 2,425.48 : x
  2. Step 2: Convert to fraction form
    2,589.46/3,877.86 = 2,425.48/x
  3. Step 3: Cross multiply
    2,589.46x = 3,877.86 × 2,425.48
  4. Step 4: Simplify right side
    2,589.46x = 9,405,671.87
  5. Step 5: Solve for x
    x = 9,405,671.87/2,589.46
  6. Step 6: Final answer
    x = 3,632.29

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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.