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Finding the Fourth Proportional to 2,011.26, 3,016.14 and 694.64

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Solution

The fourth proportional to 2,011.26, 3,016.14 and 694.64 is: 1,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.26 : 3,016.14 = 694.64 : x
  2. Step 2: Convert to fraction form
    2,011.26/3,016.14 = 694.64/x
  3. Step 3: Cross multiply
    2,011.26x = 3,016.14 × 694.64
  4. Step 4: Simplify right side
    2,011.26x = 2,095,131.49
  5. Step 5: Solve for x
    x = 2,095,131.49/2,011.26
  6. Step 6: Final answer
    x = 1,041.70

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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.