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Finding the Fourth Proportional to 2,069.50, 3,104.25 and 608.62

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Solution

The fourth proportional to 2,069.50, 3,104.25 and 608.62 is: 912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.50 : 3,104.25 = 608.62 : x
  2. Step 2: Convert to fraction form
    2,069.50/3,104.25 = 608.62/x
  3. Step 3: Cross multiply
    2,069.50x = 3,104.25 × 608.62
  4. Step 4: Simplify right side
    2,069.50x = 1,889,308.64
  5. Step 5: Solve for x
    x = 1,889,308.64/2,069.50
  6. Step 6: Final answer
    x = 912.93

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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.