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Finding the Fourth Proportional to 3,016.13, 4,523.49 and 825.02

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Solution

The fourth proportional to 3,016.13, 4,523.49 and 825.02 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.13 : 4,523.49 = 825.02 : x
  2. Step 2: Convert to fraction form
    3,016.13/4,523.49 = 825.02/x
  3. Step 3: Cross multiply
    3,016.13x = 4,523.49 × 825.02
  4. Step 4: Simplify right side
    3,016.13x = 3,731,964.07
  5. Step 5: Solve for x
    x = 3,731,964.07/3,016.13
  6. Step 6: Final answer
    x = 1,237.34

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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.