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Finding the Fourth Proportional to 2,618.31, 3,613.37 and 1,734.40

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Solution

The fourth proportional to 2,618.31, 3,613.37 and 1,734.40 is: 2,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.31 : 3,613.37 = 1,734.40 : x
  2. Step 2: Convert to fraction form
    2,618.31/3,613.37 = 1,734.40/x
  3. Step 3: Cross multiply
    2,618.31x = 3,613.37 × 1,734.40
  4. Step 4: Simplify right side
    2,618.31x = 6,267,028.93
  5. Step 5: Solve for x
    x = 6,267,028.93/2,618.31
  6. Step 6: Final answer
    x = 2,393.54

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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.