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Finding the Fourth Proportional to 1,617.35, 2,427.23 and 1,201.84

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Solution

The fourth proportional to 1,617.35, 2,427.23 and 1,201.84 is: 1,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.35 : 2,427.23 = 1,201.84 : x
  2. Step 2: Convert to fraction form
    1,617.35/2,427.23 = 1,201.84/x
  3. Step 3: Cross multiply
    1,617.35x = 2,427.23 × 1,201.84
  4. Step 4: Simplify right side
    1,617.35x = 2,917,133.97
  5. Step 5: Solve for x
    x = 2,917,133.97/1,617.35
  6. Step 6: Final answer
    x = 1,803.65

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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.