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Finding the Fourth Proportional to 2,777.49, 4,166.24 and 1,917.27

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Solution

The fourth proportional to 2,777.49, 4,166.24 and 1,917.27 is: 2,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.49 : 4,166.24 = 1,917.27 : x
  2. Step 2: Convert to fraction form
    2,777.49/4,166.24 = 1,917.27/x
  3. Step 3: Cross multiply
    2,777.49x = 4,166.24 × 1,917.27
  4. Step 4: Simplify right side
    2,777.49x = 7,987,797.38
  5. Step 5: Solve for x
    x = 7,987,797.38/2,777.49
  6. Step 6: Final answer
    x = 2,875.91

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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.