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Finding the Fourth Proportional to 2,260.77, 3,389.52 and 872.94

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Solution

The fourth proportional to 2,260.77, 3,389.52 and 872.94 is: 1,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.77 : 3,389.52 = 872.94 : x
  2. Step 2: Convert to fraction form
    2,260.77/3,389.52 = 872.94/x
  3. Step 3: Cross multiply
    2,260.77x = 3,389.52 × 872.94
  4. Step 4: Simplify right side
    2,260.77x = 2,958,847.59
  5. Step 5: Solve for x
    x = 2,958,847.59/2,260.77
  6. Step 6: Final answer
    x = 1,308.78

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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.