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Finding the Fourth Proportional to 2,617.56, 3,610.97 and 1,734.11

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Solution

The fourth proportional to 2,617.56, 3,610.97 and 1,734.11 is: 2,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.56 : 3,610.97 = 1,734.11 : x
  2. Step 2: Convert to fraction form
    2,617.56/3,610.97 = 1,734.11/x
  3. Step 3: Cross multiply
    2,617.56x = 3,610.97 × 1,734.11
  4. Step 4: Simplify right side
    2,617.56x = 6,261,792.46
  5. Step 5: Solve for x
    x = 6,261,792.46/2,617.56
  6. Step 6: Final answer
    x = 2,392.22

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Why These Related Problems?

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