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Finding the Fourth Proportional to 2,611.92, 3,603.72 and 1,563.24

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Solution

The fourth proportional to 2,611.92, 3,603.72 and 1,563.24 is: 2,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.92 : 3,603.72 = 1,563.24 : x
  2. Step 2: Convert to fraction form
    2,611.92/3,603.72 = 1,563.24/x
  3. Step 3: Cross multiply
    2,611.92x = 3,603.72 × 1,563.24
  4. Step 4: Simplify right side
    2,611.92x = 5,633,479.25
  5. Step 5: Solve for x
    x = 5,633,479.25/2,611.92
  6. Step 6: Final answer
    x = 2,156.83

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