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Finding the Fourth Proportional to 2,601.52, 3,591.74 and 2,005.26

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Solution

The fourth proportional to 2,601.52, 3,591.74 and 2,005.26 is: 2,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,591.74 = 2,005.26 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,591.74 = 2,005.26/x
  3. Step 3: Cross multiply
    2,601.52x = 3,591.74 × 2,005.26
  4. Step 4: Simplify right side
    2,601.52x = 7,202,372.55
  5. Step 5: Solve for x
    x = 7,202,372.55/2,601.52
  6. Step 6: Final answer
    x = 2,768.52

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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.