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Finding the Fourth Proportional to 3,016.80, 4,525.86 and 936.78

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Solution

The fourth proportional to 3,016.80, 4,525.86 and 936.78 is: 1,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.80 : 4,525.86 = 936.78 : x
  2. Step 2: Convert to fraction form
    3,016.80/4,525.86 = 936.78/x
  3. Step 3: Cross multiply
    3,016.80x = 4,525.86 × 936.78
  4. Step 4: Simplify right side
    3,016.80x = 4,239,735.13
  5. Step 5: Solve for x
    x = 4,239,735.13/3,016.80
  6. Step 6: Final answer
    x = 1,405.37

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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.