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Finding the Fourth Proportional to 1,617.78, 2,216.99 and 1,462.26

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Solution

The fourth proportional to 1,617.78, 2,216.99 and 1,462.26 is: 2,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.78 : 2,216.99 = 1,462.26 : x
  2. Step 2: Convert to fraction form
    1,617.78/2,216.99 = 1,462.26/x
  3. Step 3: Cross multiply
    1,617.78x = 2,216.99 × 1,462.26
  4. Step 4: Simplify right side
    1,617.78x = 3,241,808.49
  5. Step 5: Solve for x
    x = 3,241,808.49/1,617.78
  6. Step 6: Final answer
    x = 2,003.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.