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Finding the Fourth Proportional to 2,302.91, 3,452.78 and 1,208.05

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Solution

The fourth proportional to 2,302.91, 3,452.78 and 1,208.05 is: 1,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.91 : 3,452.78 = 1,208.05 : x
  2. Step 2: Convert to fraction form
    2,302.91/3,452.78 = 1,208.05/x
  3. Step 3: Cross multiply
    2,302.91x = 3,452.78 × 1,208.05
  4. Step 4: Simplify right side
    2,302.91x = 4,171,118.47
  5. Step 5: Solve for x
    x = 4,171,118.47/2,302.91
  6. Step 6: Final answer
    x = 1,811.23

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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.