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Finding the Fourth Proportional to 2,611.83, 3,604.64 and 1,563.87

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Solution

The fourth proportional to 2,611.83, 3,604.64 and 1,563.87 is: 2,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.83 : 3,604.64 = 1,563.87 : x
  2. Step 2: Convert to fraction form
    2,611.83/3,604.64 = 1,563.87/x
  3. Step 3: Cross multiply
    2,611.83x = 3,604.64 × 1,563.87
  4. Step 4: Simplify right side
    2,611.83x = 5,637,180.54
  5. Step 5: Solve for x
    x = 5,637,180.54/2,611.83
  6. Step 6: Final answer
    x = 2,158.33

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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.