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Finding the Fourth Proportional to 2,495.36, 3,743.62 and 763.96

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Solution

The fourth proportional to 2,495.36, 3,743.62 and 763.96 is: 1,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.36 : 3,743.62 = 763.96 : x
  2. Step 2: Convert to fraction form
    2,495.36/3,743.62 = 763.96/x
  3. Step 3: Cross multiply
    2,495.36x = 3,743.62 × 763.96
  4. Step 4: Simplify right side
    2,495.36x = 2,859,975.94
  5. Step 5: Solve for x
    x = 2,859,975.94/2,495.36
  6. Step 6: Final answer
    x = 1,146.12

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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.