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Finding the Fourth Proportional to 2,495.82, 3,744.54 and 1,197.39

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Solution

The fourth proportional to 2,495.82, 3,744.54 and 1,197.39 is: 1,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.82 : 3,744.54 = 1,197.39 : x
  2. Step 2: Convert to fraction form
    2,495.82/3,744.54 = 1,197.39/x
  3. Step 3: Cross multiply
    2,495.82x = 3,744.54 × 1,197.39
  4. Step 4: Simplify right side
    2,495.82x = 4,483,674.75
  5. Step 5: Solve for x
    x = 4,483,674.75/2,495.82
  6. Step 6: Final answer
    x = 1,796.47

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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.