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Finding the Fourth Proportional to 2,280.30, 3,418.91 and 892.77

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Solution

The fourth proportional to 2,280.30, 3,418.91 and 892.77 is: 1,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.30 : 3,418.91 = 892.77 : x
  2. Step 2: Convert to fraction form
    2,280.30/3,418.91 = 892.77/x
  3. Step 3: Cross multiply
    2,280.30x = 3,418.91 × 892.77
  4. Step 4: Simplify right side
    2,280.30x = 3,052,305.58
  5. Step 5: Solve for x
    x = 3,052,305.58/2,280.30
  6. Step 6: Final answer
    x = 1,338.55

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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.