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Finding the Fourth Proportional to 4,442, 6,662.82 and 1,321.88

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Solution

The fourth proportional to 4,442, 6,662.82 and 1,321.88 is: 1,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442 : 6,662.82 = 1,321.88 : x
  2. Step 2: Convert to fraction form
    4,442/6,662.82 = 1,321.88/x
  3. Step 3: Cross multiply
    4,442x = 6,662.82 × 1,321.88
  4. Step 4: Simplify right side
    4,442x = 8,807,448.50
  5. Step 5: Solve for x
    x = 8,807,448.50/4,442
  6. Step 6: Final answer
    x = 1,982.77

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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.