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Finding the Fourth Proportional to 2,774.01, 4,160.61 and 1,213.68

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Solution

The fourth proportional to 2,774.01, 4,160.61 and 1,213.68 is: 1,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.01 : 4,160.61 = 1,213.68 : x
  2. Step 2: Convert to fraction form
    2,774.01/4,160.61 = 1,213.68/x
  3. Step 3: Cross multiply
    2,774.01x = 4,160.61 × 1,213.68
  4. Step 4: Simplify right side
    2,774.01x = 5,049,649.14
  5. Step 5: Solve for x
    x = 5,049,649.14/2,774.01
  6. Step 6: Final answer
    x = 1,820.34

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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.