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Finding the Fourth Proportional to 2,456.52, 3,684.67 and 1,069.09

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Solution

The fourth proportional to 2,456.52, 3,684.67 and 1,069.09 is: 1,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.52 : 3,684.67 = 1,069.09 : x
  2. Step 2: Convert to fraction form
    2,456.52/3,684.67 = 1,069.09/x
  3. Step 3: Cross multiply
    2,456.52x = 3,684.67 × 1,069.09
  4. Step 4: Simplify right side
    2,456.52x = 3,939,243.85
  5. Step 5: Solve for x
    x = 3,939,243.85/2,456.52
  6. Step 6: Final answer
    x = 1,603.59

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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.