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Finding the Fourth Proportional to 2,069.85, 3,104.78 and 609.02

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Solution

The fourth proportional to 2,069.85, 3,104.78 and 609.02 is: 913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.85 : 3,104.78 = 609.02 : x
  2. Step 2: Convert to fraction form
    2,069.85/3,104.78 = 609.02/x
  3. Step 3: Cross multiply
    2,069.85x = 3,104.78 × 609.02
  4. Step 4: Simplify right side
    2,069.85x = 1,890,869.62
  5. Step 5: Solve for x
    x = 1,890,869.62/2,069.85
  6. Step 6: Final answer
    x = 913.53

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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.