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Finding the Fourth Proportional to 4,466.91, 6,698.41 and 1,968.04

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Solution

The fourth proportional to 4,466.91, 6,698.41 and 1,968.04 is: 2,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.91 : 6,698.41 = 1,968.04 : x
  2. Step 2: Convert to fraction form
    4,466.91/6,698.41 = 1,968.04/x
  3. Step 3: Cross multiply
    4,466.91x = 6,698.41 × 1,968.04
  4. Step 4: Simplify right side
    4,466.91x = 13,182,738.82
  5. Step 5: Solve for x
    x = 13,182,738.82/4,466.91
  6. Step 6: Final answer
    x = 2,951.20

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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.