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Finding the Fourth Proportional to 2,014.13, 3,019.77 and 781.44

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Solution

The fourth proportional to 2,014.13, 3,019.77 and 781.44 is: 1,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.13 : 3,019.77 = 781.44 : x
  2. Step 2: Convert to fraction form
    2,014.13/3,019.77 = 781.44/x
  3. Step 3: Cross multiply
    2,014.13x = 3,019.77 × 781.44
  4. Step 4: Simplify right side
    2,014.13x = 2,359,769.07
  5. Step 5: Solve for x
    x = 2,359,769.07/2,014.13
  6. Step 6: Final answer
    x = 1,171.61

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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.