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Finding the Fourth Proportional to 2,589.61, 3,877.20 and 2,215.94

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Solution

The fourth proportional to 2,589.61, 3,877.20 and 2,215.94 is: 3,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.61 : 3,877.20 = 2,215.94 : x
  2. Step 2: Convert to fraction form
    2,589.61/3,877.20 = 2,215.94/x
  3. Step 3: Cross multiply
    2,589.61x = 3,877.20 × 2,215.94
  4. Step 4: Simplify right side
    2,589.61x = 8,591,642.57
  5. Step 5: Solve for x
    x = 8,591,642.57/2,589.61
  6. Step 6: Final answer
    x = 3,317.74

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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.