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Finding the Fourth Proportional to 2,495.50, 3,743.25 and 764.13

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Solution

The fourth proportional to 2,495.50, 3,743.25 and 764.13 is: 1,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.50 : 3,743.25 = 764.13 : x
  2. Step 2: Convert to fraction form
    2,495.50/3,743.25 = 764.13/x
  3. Step 3: Cross multiply
    2,495.50x = 3,743.25 × 764.13
  4. Step 4: Simplify right side
    2,495.50x = 2,860,310.91
  5. Step 5: Solve for x
    x = 2,860,310.91/2,495.50
  6. Step 6: Final answer
    x = 1,146.19

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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.