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Finding the Fourth Proportional to 2,589.92, 3,883.66 and 1,356.08

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Solution

The fourth proportional to 2,589.92, 3,883.66 and 1,356.08 is: 2,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.92 : 3,883.66 = 1,356.08 : x
  2. Step 2: Convert to fraction form
    2,589.92/3,883.66 = 1,356.08/x
  3. Step 3: Cross multiply
    2,589.92x = 3,883.66 × 1,356.08
  4. Step 4: Simplify right side
    2,589.92x = 5,266,559.97
  5. Step 5: Solve for x
    x = 5,266,559.97/2,589.92
  6. Step 6: Final answer
    x = 2,033.49

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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.