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Finding the Fourth Proportional to 2,169.98, 3,254.98 and 1,016.54

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Solution

The fourth proportional to 2,169.98, 3,254.98 and 1,016.54 is: 1,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.98 : 3,254.98 = 1,016.54 : x
  2. Step 2: Convert to fraction form
    2,169.98/3,254.98 = 1,016.54/x
  3. Step 3: Cross multiply
    2,169.98x = 3,254.98 × 1,016.54
  4. Step 4: Simplify right side
    2,169.98x = 3,308,817.37
  5. Step 5: Solve for x
    x = 3,308,817.37/2,169.98
  6. Step 6: Final answer
    x = 1,524.81

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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.