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Finding the Fourth Proportional to 3,076.91, 4,615.67 and 1,227.59

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Solution

The fourth proportional to 3,076.91, 4,615.67 and 1,227.59 is: 1,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.91 : 4,615.67 = 1,227.59 : x
  2. Step 2: Convert to fraction form
    3,076.91/4,615.67 = 1,227.59/x
  3. Step 3: Cross multiply
    3,076.91x = 4,615.67 × 1,227.59
  4. Step 4: Simplify right side
    3,076.91x = 5,666,150.34
  5. Step 5: Solve for x
    x = 5,666,150.34/3,076.91
  6. Step 6: Final answer
    x = 1,841.51

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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.