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Finding the Fourth Proportional to 2,011.35, 3,016.29 and 694.77

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Solution

The fourth proportional to 2,011.35, 3,016.29 and 694.77 is: 1,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.35 : 3,016.29 = 694.77 : x
  2. Step 2: Convert to fraction form
    2,011.35/3,016.29 = 694.77/x
  3. Step 3: Cross multiply
    2,011.35x = 3,016.29 × 694.77
  4. Step 4: Simplify right side
    2,011.35x = 2,095,624.33
  5. Step 5: Solve for x
    x = 2,095,624.33/2,011.35
  6. Step 6: Final answer
    x = 1,041.90

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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.