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Finding the Fourth Proportional to 2,016.16, 3,024.24 and 919.75

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Solution

The fourth proportional to 2,016.16, 3,024.24 and 919.75 is: 1,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.16 : 3,024.24 = 919.75 : x
  2. Step 2: Convert to fraction form
    2,016.16/3,024.24 = 919.75/x
  3. Step 3: Cross multiply
    2,016.16x = 3,024.24 × 919.75
  4. Step 4: Simplify right side
    2,016.16x = 2,781,544.74
  5. Step 5: Solve for x
    x = 2,781,544.74/2,016.16
  6. Step 6: Final answer
    x = 1,379.63

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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.