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Finding the Fourth Proportional to 2,111.36, 3,168.36 and 1,016.86

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Solution

The fourth proportional to 2,111.36, 3,168.36 and 1,016.86 is: 1,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.36 : 3,168.36 = 1,016.86 : x
  2. Step 2: Convert to fraction form
    2,111.36/3,168.36 = 1,016.86/x
  3. Step 3: Cross multiply
    2,111.36x = 3,168.36 × 1,016.86
  4. Step 4: Simplify right side
    2,111.36x = 3,221,778.55
  5. Step 5: Solve for x
    x = 3,221,778.55/2,111.36
  6. Step 6: Final answer
    x = 1,525.93

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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.