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Finding the Fourth Proportional to 2,317.52, 3,196.84 and 1,608.09

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Solution

The fourth proportional to 2,317.52, 3,196.84 and 1,608.09 is: 2,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.52 : 3,196.84 = 1,608.09 : x
  2. Step 2: Convert to fraction form
    2,317.52/3,196.84 = 1,608.09/x
  3. Step 3: Cross multiply
    2,317.52x = 3,196.84 × 1,608.09
  4. Step 4: Simplify right side
    2,317.52x = 5,140,806.44
  5. Step 5: Solve for x
    x = 5,140,806.44/2,317.52
  6. Step 6: Final answer
    x = 2,218.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.