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Finding the Fourth Proportional to 2,497.77, 3,743.31 and 1,181.87

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Solution

The fourth proportional to 2,497.77, 3,743.31 and 1,181.87 is: 1,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.77 : 3,743.31 = 1,181.87 : x
  2. Step 2: Convert to fraction form
    2,497.77/3,743.31 = 1,181.87/x
  3. Step 3: Cross multiply
    2,497.77x = 3,743.31 × 1,181.87
  4. Step 4: Simplify right side
    2,497.77x = 4,424,105.79
  5. Step 5: Solve for x
    x = 4,424,105.79/2,497.77
  6. Step 6: Final answer
    x = 1,771.22

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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.