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Finding the Fourth Proportional to 2,357.39, 3,256.26 and 1,794.44

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Solution

The fourth proportional to 2,357.39, 3,256.26 and 1,794.44 is: 2,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.39 : 3,256.26 = 1,794.44 : x
  2. Step 2: Convert to fraction form
    2,357.39/3,256.26 = 1,794.44/x
  3. Step 3: Cross multiply
    2,357.39x = 3,256.26 × 1,794.44
  4. Step 4: Simplify right side
    2,357.39x = 5,843,163.19
  5. Step 5: Solve for x
    x = 5,843,163.19/2,357.39
  6. Step 6: Final answer
    x = 2,478.66

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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.