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Finding the Fourth Proportional to 2,589.32, 3,880.52 and 944.32

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Solution

The fourth proportional to 2,589.32, 3,880.52 and 944.32 is: 1,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.32 : 3,880.52 = 944.32 : x
  2. Step 2: Convert to fraction form
    2,589.32/3,880.52 = 944.32/x
  3. Step 3: Cross multiply
    2,589.32x = 3,880.52 × 944.32
  4. Step 4: Simplify right side
    2,589.32x = 3,664,452.65
  5. Step 5: Solve for x
    x = 3,664,452.65/2,589.32
  6. Step 6: Final answer
    x = 1,415.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.