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Finding the Fourth Proportional to 2,613.70, 3,918.93 and 1,227.34

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Solution

The fourth proportional to 2,613.70, 3,918.93 and 1,227.34 is: 1,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.70 : 3,918.93 = 1,227.34 : x
  2. Step 2: Convert to fraction form
    2,613.70/3,918.93 = 1,227.34/x
  3. Step 3: Cross multiply
    2,613.70x = 3,918.93 × 1,227.34
  4. Step 4: Simplify right side
    2,613.70x = 4,809,859.55
  5. Step 5: Solve for x
    x = 4,809,859.55/2,613.70
  6. Step 6: Final answer
    x = 1,840.25

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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.