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Finding the Fourth Proportional to 3,177.69, 4,384.69 and 1,997.92

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Solution

The fourth proportional to 3,177.69, 4,384.69 and 1,997.92 is: 2,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.69 : 4,384.69 = 1,997.92 : x
  2. Step 2: Convert to fraction form
    3,177.69/4,384.69 = 1,997.92/x
  3. Step 3: Cross multiply
    3,177.69x = 4,384.69 × 1,997.92
  4. Step 4: Simplify right side
    3,177.69x = 8,760,259.84
  5. Step 5: Solve for x
    x = 8,760,259.84/3,177.69
  6. Step 6: Final answer
    x = 2,756.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.