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Finding the Fourth Proportional to 2,062.69, 3,089.23 and 1,239.14

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Solution

The fourth proportional to 2,062.69, 3,089.23 and 1,239.14 is: 1,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.69 : 3,089.23 = 1,239.14 : x
  2. Step 2: Convert to fraction form
    2,062.69/3,089.23 = 1,239.14/x
  3. Step 3: Cross multiply
    2,062.69x = 3,089.23 × 1,239.14
  4. Step 4: Simplify right side
    2,062.69x = 3,827,993.09
  5. Step 5: Solve for x
    x = 3,827,993.09/2,062.69
  6. Step 6: Final answer
    x = 1,855.83

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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.