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Finding the Fourth Proportional to 3,177.27, 4,384.86 and 1,918.63

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Solution

The fourth proportional to 3,177.27, 4,384.86 and 1,918.63 is: 2,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.27 : 4,384.86 = 1,918.63 : x
  2. Step 2: Convert to fraction form
    3,177.27/4,384.86 = 1,918.63/x
  3. Step 3: Cross multiply
    3,177.27x = 4,384.86 × 1,918.63
  4. Step 4: Simplify right side
    3,177.27x = 8,412,923.94
  5. Step 5: Solve for x
    x = 8,412,923.94/3,177.27
  6. Step 6: Final answer
    x = 2,647.85

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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.