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Finding the Fourth Proportional to 2,468.57, 3,702.43 and 736.79

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Solution

The fourth proportional to 2,468.57, 3,702.43 and 736.79 is: 1,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.57 : 3,702.43 = 736.79 : x
  2. Step 2: Convert to fraction form
    2,468.57/3,702.43 = 736.79/x
  3. Step 3: Cross multiply
    2,468.57x = 3,702.43 × 736.79
  4. Step 4: Simplify right side
    2,468.57x = 2,727,893.05
  5. Step 5: Solve for x
    x = 2,727,893.05/2,468.57
  6. Step 6: Final answer
    x = 1,105.05

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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.