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Finding the Fourth Proportional to 2,069.91, 3,104.72 and 608.94

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Solution

The fourth proportional to 2,069.91, 3,104.72 and 608.94 is: 913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.91 : 3,104.72 = 608.94 : x
  2. Step 2: Convert to fraction form
    2,069.91/3,104.72 = 608.94/x
  3. Step 3: Cross multiply
    2,069.91x = 3,104.72 × 608.94
  4. Step 4: Simplify right side
    2,069.91x = 1,890,585.15
  5. Step 5: Solve for x
    x = 1,890,585.15/2,069.91
  6. Step 6: Final answer
    x = 913.37

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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.