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Finding the Fourth Proportional to 2,589.99, 3,887.65 and 2,295.39

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Solution

The fourth proportional to 2,589.99, 3,887.65 and 2,295.39 is: 3,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.99 : 3,887.65 = 2,295.39 : x
  2. Step 2: Convert to fraction form
    2,589.99/3,887.65 = 2,295.39/x
  3. Step 3: Cross multiply
    2,589.99x = 3,887.65 × 2,295.39
  4. Step 4: Simplify right side
    2,589.99x = 8,923,665.94
  5. Step 5: Solve for x
    x = 8,923,665.94/2,589.99
  6. Step 6: Final answer
    x = 3,445.44

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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.