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Finding the Fourth Proportional to 2,589.36, 3,877.83 and 2,278.05

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Solution

The fourth proportional to 2,589.36, 3,877.83 and 2,278.05 is: 3,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.36 : 3,877.83 = 2,278.05 : x
  2. Step 2: Convert to fraction form
    2,589.36/3,877.83 = 2,278.05/x
  3. Step 3: Cross multiply
    2,589.36x = 3,877.83 × 2,278.05
  4. Step 4: Simplify right side
    2,589.36x = 8,833,890.63
  5. Step 5: Solve for x
    x = 8,833,890.63/2,589.36
  6. Step 6: Final answer
    x = 3,411.61

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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.