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Finding the Fourth Proportional to 2,994.91, 4,493.16 and 2,668.09

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Solution

The fourth proportional to 2,994.91, 4,493.16 and 2,668.09 is: 4,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.91 : 4,493.16 = 2,668.09 : x
  2. Step 2: Convert to fraction form
    2,994.91/4,493.16 = 2,668.09/x
  3. Step 3: Cross multiply
    2,994.91x = 4,493.16 × 2,668.09
  4. Step 4: Simplify right side
    2,994.91x = 11,988,155.26
  5. Step 5: Solve for x
    x = 11,988,155.26/2,994.91
  6. Step 6: Final answer
    x = 4,002.84

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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.