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Finding the Fourth Proportional to 2,761.22, 3,810.96 and 1,766.45

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Solution

The fourth proportional to 2,761.22, 3,810.96 and 1,766.45 is: 2,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.22 : 3,810.96 = 1,766.45 : x
  2. Step 2: Convert to fraction form
    2,761.22/3,810.96 = 1,766.45/x
  3. Step 3: Cross multiply
    2,761.22x = 3,810.96 × 1,766.45
  4. Step 4: Simplify right side
    2,761.22x = 6,731,879.82
  5. Step 5: Solve for x
    x = 6,731,879.82/2,761.22
  6. Step 6: Final answer
    x = 2,438.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.