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Finding the Fourth Proportional to 2,589.57, 3,884.36 and 2,155.82

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Solution

The fourth proportional to 2,589.57, 3,884.36 and 2,155.82 is: 3,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.57 : 3,884.36 = 2,155.82 : x
  2. Step 2: Convert to fraction form
    2,589.57/3,884.36 = 2,155.82/x
  3. Step 3: Cross multiply
    2,589.57x = 3,884.36 × 2,155.82
  4. Step 4: Simplify right side
    2,589.57x = 8,373,950.77
  5. Step 5: Solve for x
    x = 8,373,950.77/2,589.57
  6. Step 6: Final answer
    x = 3,233.72

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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.