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Finding the Fourth Proportional to 3,078.65, 4,610.59 and 2,243.47

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Solution

The fourth proportional to 3,078.65, 4,610.59 and 2,243.47 is: 3,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.65 : 4,610.59 = 2,243.47 : x
  2. Step 2: Convert to fraction form
    3,078.65/4,610.59 = 2,243.47/x
  3. Step 3: Cross multiply
    3,078.65x = 4,610.59 × 2,243.47
  4. Step 4: Simplify right side
    3,078.65x = 10,343,708.82
  5. Step 5: Solve for x
    x = 10,343,708.82/3,078.65
  6. Step 6: Final answer
    x = 3,359.83

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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.