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Finding the Fourth Proportional to 2,016.06, 3,024.48 and 699.86

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Solution

The fourth proportional to 2,016.06, 3,024.48 and 699.86 is: 1,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.06 : 3,024.48 = 699.86 : x
  2. Step 2: Convert to fraction form
    2,016.06/3,024.48 = 699.86/x
  3. Step 3: Cross multiply
    2,016.06x = 3,024.48 × 699.86
  4. Step 4: Simplify right side
    2,016.06x = 2,116,712.57
  5. Step 5: Solve for x
    x = 2,116,712.57/2,016.06
  6. Step 6: Final answer
    x = 1,049.93

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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.