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Finding the Fourth Proportional to 2,563.72, 3,533.22 and 2,003.32

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Solution

The fourth proportional to 2,563.72, 3,533.22 and 2,003.32 is: 2,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.72 : 3,533.22 = 2,003.32 : x
  2. Step 2: Convert to fraction form
    2,563.72/3,533.22 = 2,003.32/x
  3. Step 3: Cross multiply
    2,563.72x = 3,533.22 × 2,003.32
  4. Step 4: Simplify right side
    2,563.72x = 7,078,170.29
  5. Step 5: Solve for x
    x = 7,078,170.29/2,563.72
  6. Step 6: Final answer
    x = 2,760.90

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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.