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Finding the Fourth Proportional to 3,270.27, 4,905.41 and 961.59

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Solution

The fourth proportional to 3,270.27, 4,905.41 and 961.59 is: 1,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.27 : 4,905.41 = 961.59 : x
  2. Step 2: Convert to fraction form
    3,270.27/4,905.41 = 961.59/x
  3. Step 3: Cross multiply
    3,270.27x = 4,905.41 × 961.59
  4. Step 4: Simplify right side
    3,270.27x = 4,716,988.39
  5. Step 5: Solve for x
    x = 4,716,988.39/3,270.27
  6. Step 6: Final answer
    x = 1,442.39

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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.