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Finding the Fourth Proportional to 2,495.62, 3,743.47 and 764.26

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Solution

The fourth proportional to 2,495.62, 3,743.47 and 764.26 is: 1,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.62 : 3,743.47 = 764.26 : x
  2. Step 2: Convert to fraction form
    2,495.62/3,743.47 = 764.26/x
  3. Step 3: Cross multiply
    2,495.62x = 3,743.47 × 764.26
  4. Step 4: Simplify right side
    2,495.62x = 2,860,984.38
  5. Step 5: Solve for x
    x = 2,860,984.38/2,495.62
  6. Step 6: Final answer
    x = 1,146.40

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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.