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Finding the Fourth Proportional to 2,069.67, 3,104.37 and 608.79

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Solution

The fourth proportional to 2,069.67, 3,104.37 and 608.79 is: 913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.67 : 3,104.37 = 608.79 : x
  2. Step 2: Convert to fraction form
    2,069.67/3,104.37 = 608.79/x
  3. Step 3: Cross multiply
    2,069.67x = 3,104.37 × 608.79
  4. Step 4: Simplify right side
    2,069.67x = 1,889,909.41
  5. Step 5: Solve for x
    x = 1,889,909.41/2,069.67
  6. Step 6: Final answer
    x = 913.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.