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Finding the Fourth Proportional to 2,060.81, 3,091.88 and 762.38

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Solution

The fourth proportional to 2,060.81, 3,091.88 and 762.38 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.81 : 3,091.88 = 762.38 : x
  2. Step 2: Convert to fraction form
    2,060.81/3,091.88 = 762.38/x
  3. Step 3: Cross multiply
    2,060.81x = 3,091.88 × 762.38
  4. Step 4: Simplify right side
    2,060.81x = 2,357,187.47
  5. Step 5: Solve for x
    x = 2,357,187.47/2,060.81
  6. Step 6: Final answer
    x = 1,143.82

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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.