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Finding the Fourth Proportional to 2,060.44, 3,090.95 and 761.83

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Solution

The fourth proportional to 2,060.44, 3,090.95 and 761.83 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.44 : 3,090.95 = 761.83 : x
  2. Step 2: Convert to fraction form
    2,060.44/3,090.95 = 761.83/x
  3. Step 3: Cross multiply
    2,060.44x = 3,090.95 × 761.83
  4. Step 4: Simplify right side
    2,060.44x = 2,354,778.44
  5. Step 5: Solve for x
    x = 2,354,778.44/2,060.44
  6. Step 6: Final answer
    x = 1,142.85

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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.