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Finding the Fourth Proportional to 2,468.56, 3,702.36 and 736.80

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Solution

The fourth proportional to 2,468.56, 3,702.36 and 736.80 is: 1,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.56 : 3,702.36 = 736.80 : x
  2. Step 2: Convert to fraction form
    2,468.56/3,702.36 = 736.80/x
  3. Step 3: Cross multiply
    2,468.56x = 3,702.36 × 736.80
  4. Step 4: Simplify right side
    2,468.56x = 2,727,898.85
  5. Step 5: Solve for x
    x = 2,727,898.85/2,468.56
  6. Step 6: Final answer
    x = 1,105.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.