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Finding the Fourth Proportional to 2,060.13, 3,090.58 and 827.63

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Solution

The fourth proportional to 2,060.13, 3,090.58 and 827.63 is: 1,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.13 : 3,090.58 = 827.63 : x
  2. Step 2: Convert to fraction form
    2,060.13/3,090.58 = 827.63/x
  3. Step 3: Cross multiply
    2,060.13x = 3,090.58 × 827.63
  4. Step 4: Simplify right side
    2,060.13x = 2,557,860.31
  5. Step 5: Solve for x
    x = 2,557,860.31/2,060.13
  6. Step 6: Final answer
    x = 1,241.60

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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.