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Finding the Fourth Proportional to 2,967.86, 4,452.10 and 1,019.81

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Solution

The fourth proportional to 2,967.86, 4,452.10 and 1,019.81 is: 1,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.86 : 4,452.10 = 1,019.81 : x
  2. Step 2: Convert to fraction form
    2,967.86/4,452.10 = 1,019.81/x
  3. Step 3: Cross multiply
    2,967.86x = 4,452.10 × 1,019.81
  4. Step 4: Simplify right side
    2,967.86x = 4,540,304.68
  5. Step 5: Solve for x
    x = 4,540,304.68/2,967.86
  6. Step 6: Final answer
    x = 1,529.82

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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.