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Finding the Fourth Proportional to 2,194.20, 3,291.83 and 655.20

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Solution

The fourth proportional to 2,194.20, 3,291.83 and 655.20 is: 982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.20 : 3,291.83 = 655.20 : x
  2. Step 2: Convert to fraction form
    2,194.20/3,291.83 = 655.20/x
  3. Step 3: Cross multiply
    2,194.20x = 3,291.83 × 655.20
  4. Step 4: Simplify right side
    2,194.20x = 2,156,807.02
  5. Step 5: Solve for x
    x = 2,156,807.02/2,194.20
  6. Step 6: Final answer
    x = 982.96

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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.