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Finding the Fourth Proportional to 2,698.22, 4,046.64 and 966.86

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Solution

The fourth proportional to 2,698.22, 4,046.64 and 966.86 is: 1,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.22 : 4,046.64 = 966.86 : x
  2. Step 2: Convert to fraction form
    2,698.22/4,046.64 = 966.86/x
  3. Step 3: Cross multiply
    2,698.22x = 4,046.64 × 966.86
  4. Step 4: Simplify right side
    2,698.22x = 3,912,534.35
  5. Step 5: Solve for x
    x = 3,912,534.35/2,698.22
  6. Step 6: Final answer
    x = 1,450.04

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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.