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Finding the Fourth Proportional to 2,578.56, 3,563.52 and 2,163.84

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Solution

The fourth proportional to 2,578.56, 3,563.52 and 2,163.84 is: 2,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.56 : 3,563.52 = 2,163.84 : x
  2. Step 2: Convert to fraction form
    2,578.56/3,563.52 = 2,163.84/x
  3. Step 3: Cross multiply
    2,578.56x = 3,563.52 × 2,163.84
  4. Step 4: Simplify right side
    2,578.56x = 7,710,887.12
  5. Step 5: Solve for x
    x = 7,710,887.12/2,578.56
  6. Step 6: Final answer
    x = 2,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.