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Finding the Fourth Proportional to 2,282.77, 3,420.72 and 1,761.98

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Solution

The fourth proportional to 2,282.77, 3,420.72 and 1,761.98 is: 2,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.77 : 3,420.72 = 1,761.98 : x
  2. Step 2: Convert to fraction form
    2,282.77/3,420.72 = 1,761.98/x
  3. Step 3: Cross multiply
    2,282.77x = 3,420.72 × 1,761.98
  4. Step 4: Simplify right side
    2,282.77x = 6,027,248.78
  5. Step 5: Solve for x
    x = 6,027,248.78/2,282.77
  6. Step 6: Final answer
    x = 2,640.33

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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.