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Finding the Fourth Proportional to 2,613.78, 3,918.78 and 1,297.26

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Solution

The fourth proportional to 2,613.78, 3,918.78 and 1,297.26 is: 1,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.78 : 3,918.78 = 1,297.26 : x
  2. Step 2: Convert to fraction form
    2,613.78/3,918.78 = 1,297.26/x
  3. Step 3: Cross multiply
    2,613.78x = 3,918.78 × 1,297.26
  4. Step 4: Simplify right side
    2,613.78x = 5,083,676.54
  5. Step 5: Solve for x
    x = 5,083,676.54/2,613.78
  6. Step 6: Final answer
    x = 1,944.95

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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.