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Finding the Fourth Proportional to 2,967.86, 4,451.30 and 993.36

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Solution

The fourth proportional to 2,967.86, 4,451.30 and 993.36 is: 1,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.86 : 4,451.30 = 993.36 : x
  2. Step 2: Convert to fraction form
    2,967.86/4,451.30 = 993.36/x
  3. Step 3: Cross multiply
    2,967.86x = 4,451.30 × 993.36
  4. Step 4: Simplify right side
    2,967.86x = 4,421,743.37
  5. Step 5: Solve for x
    x = 4,421,743.37/2,967.86
  6. Step 6: Final answer
    x = 1,489.88

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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.