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Finding the Fourth Proportional to 2,468.14, 3,702.21 and 736.63

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Solution

The fourth proportional to 2,468.14, 3,702.21 and 736.63 is: 1,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.14 : 3,702.21 = 736.63 : x
  2. Step 2: Convert to fraction form
    2,468.14/3,702.21 = 736.63/x
  3. Step 3: Cross multiply
    2,468.14x = 3,702.21 × 736.63
  4. Step 4: Simplify right side
    2,468.14x = 2,727,158.95
  5. Step 5: Solve for x
    x = 2,727,158.95/2,468.14
  6. Step 6: Final answer
    x = 1,104.95

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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.