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Finding the Fourth Proportional to 2,774.24, 4,164.22 and 2,164.62

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Solution

The fourth proportional to 2,774.24, 4,164.22 and 2,164.62 is: 3,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.24 : 4,164.22 = 2,164.62 : x
  2. Step 2: Convert to fraction form
    2,774.24/4,164.22 = 2,164.62/x
  3. Step 3: Cross multiply
    2,774.24x = 4,164.22 × 2,164.62
  4. Step 4: Simplify right side
    2,774.24x = 9,013,953.90
  5. Step 5: Solve for x
    x = 9,013,953.90/2,774.24
  6. Step 6: Final answer
    x = 3,249.16

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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.