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Finding the Fourth Proportional to 2,014.20, 3,021.42 and 781.20

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Solution

The fourth proportional to 2,014.20, 3,021.42 and 781.20 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.20 : 3,021.42 = 781.20 : x
  2. Step 2: Convert to fraction form
    2,014.20/3,021.42 = 781.20/x
  3. Step 3: Cross multiply
    2,014.20x = 3,021.42 × 781.20
  4. Step 4: Simplify right side
    2,014.20x = 2,360,333.30
  5. Step 5: Solve for x
    x = 2,360,333.30/2,014.20
  6. Step 6: Final answer
    x = 1,171.85

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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.