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Finding the Fourth Proportional to 2,722.89, 4,083.78 and 774.57

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Solution

The fourth proportional to 2,722.89, 4,083.78 and 774.57 is: 1,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.89 : 4,083.78 = 774.57 : x
  2. Step 2: Convert to fraction form
    2,722.89/4,083.78 = 774.57/x
  3. Step 3: Cross multiply
    2,722.89x = 4,083.78 × 774.57
  4. Step 4: Simplify right side
    2,722.89x = 3,163,173.47
  5. Step 5: Solve for x
    x = 3,163,173.47/2,722.89
  6. Step 6: Final answer
    x = 1,161.70

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1.5x scale

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.