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Finding the Fourth Proportional to 2,074.25, 3,110.28 and 613.20

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Solution

The fourth proportional to 2,074.25, 3,110.28 and 613.20 is: 919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.25 : 3,110.28 = 613.20 : x
  2. Step 2: Convert to fraction form
    2,074.25/3,110.28 = 613.20/x
  3. Step 3: Cross multiply
    2,074.25x = 3,110.28 × 613.20
  4. Step 4: Simplify right side
    2,074.25x = 1,907,223.70
  5. Step 5: Solve for x
    x = 1,907,223.70/2,074.25
  6. Step 6: Final answer
    x = 919.48

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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.