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Finding the Fourth Proportional to 2,698.92, 4,039.83 and 1,772.28

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Solution

The fourth proportional to 2,698.92, 4,039.83 and 1,772.28 is: 2,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 4,039.83 = 1,772.28 : x
  2. Step 2: Convert to fraction form
    2,698.92/4,039.83 = 1,772.28/x
  3. Step 3: Cross multiply
    2,698.92x = 4,039.83 × 1,772.28
  4. Step 4: Simplify right side
    2,698.92x = 7,159,709.91
  5. Step 5: Solve for x
    x = 7,159,709.91/2,698.92
  6. Step 6: Final answer
    x = 2,652.81

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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.