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Finding the Fourth Proportional to 2,509.85, 3,759.91 and 1,212.23

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Solution

The fourth proportional to 2,509.85, 3,759.91 and 1,212.23 is: 1,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.85 : 3,759.91 = 1,212.23 : x
  2. Step 2: Convert to fraction form
    2,509.85/3,759.91 = 1,212.23/x
  3. Step 3: Cross multiply
    2,509.85x = 3,759.91 × 1,212.23
  4. Step 4: Simplify right side
    2,509.85x = 4,557,853.87
  5. Step 5: Solve for x
    x = 4,557,853.87/2,509.85
  6. Step 6: Final answer
    x = 1,815.99

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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.