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Finding the Fourth Proportional to 2,137.42, 3,207.24 and 1,617.26

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Solution

The fourth proportional to 2,137.42, 3,207.24 and 1,617.26 is: 2,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.42 : 3,207.24 = 1,617.26 : x
  2. Step 2: Convert to fraction form
    2,137.42/3,207.24 = 1,617.26/x
  3. Step 3: Cross multiply
    2,137.42x = 3,207.24 × 1,617.26
  4. Step 4: Simplify right side
    2,137.42x = 5,186,945.16
  5. Step 5: Solve for x
    x = 5,186,945.16/2,137.42
  6. Step 6: Final answer
    x = 2,426.74

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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.