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Finding the Fourth Proportional to 1,993.05, 2,989.67 and 606.59

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Solution

The fourth proportional to 1,993.05, 2,989.67 and 606.59 is: 909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.05 : 2,989.67 = 606.59 : x
  2. Step 2: Convert to fraction form
    1,993.05/2,989.67 = 606.59/x
  3. Step 3: Cross multiply
    1,993.05x = 2,989.67 × 606.59
  4. Step 4: Simplify right side
    1,993.05x = 1,813,485.94
  5. Step 5: Solve for x
    x = 1,813,485.94/1,993.05
  6. Step 6: Final answer
    x = 909.90

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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.