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Finding the Fourth Proportional to 2,180.61, 3,269.70 and 774.33

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Solution

The fourth proportional to 2,180.61, 3,269.70 and 774.33 is: 1,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.61 : 3,269.70 = 774.33 : x
  2. Step 2: Convert to fraction form
    2,180.61/3,269.70 = 774.33/x
  3. Step 3: Cross multiply
    2,180.61x = 3,269.70 × 774.33
  4. Step 4: Simplify right side
    2,180.61x = 2,531,826.80
  5. Step 5: Solve for x
    x = 2,531,826.80/2,180.61
  6. Step 6: Final answer
    x = 1,161.06

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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.