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Finding the Fourth Proportional to 2,777.57, 4,164.80 and 927.69

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Solution

The fourth proportional to 2,777.57, 4,164.80 and 927.69 is: 1,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.57 : 4,164.80 = 927.69 : x
  2. Step 2: Convert to fraction form
    2,777.57/4,164.80 = 927.69/x
  3. Step 3: Cross multiply
    2,777.57x = 4,164.80 × 927.69
  4. Step 4: Simplify right side
    2,777.57x = 3,863,628.27
  5. Step 5: Solve for x
    x = 3,863,628.27/2,777.57
  6. Step 6: Final answer
    x = 1,391.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.