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Finding the Fourth Proportional to 2,060.40, 3,090.62 and 761.85

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Solution

The fourth proportional to 2,060.40, 3,090.62 and 761.85 is: 1,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.40 : 3,090.62 = 761.85 : x
  2. Step 2: Convert to fraction form
    2,060.40/3,090.62 = 761.85/x
  3. Step 3: Cross multiply
    2,060.40x = 3,090.62 × 761.85
  4. Step 4: Simplify right side
    2,060.40x = 2,354,585.04
  5. Step 5: Solve for x
    x = 2,354,585.04/2,060.40
  6. Step 6: Final answer
    x = 1,142.78

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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.