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Finding the Fourth Proportional to 4,442, 6,659.36 and 1,846.80

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Solution

The fourth proportional to 4,442, 6,659.36 and 1,846.80 is: 2,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442 : 6,659.36 = 1,846.80 : x
  2. Step 2: Convert to fraction form
    4,442/6,659.36 = 1,846.80/x
  3. Step 3: Cross multiply
    4,442x = 6,659.36 × 1,846.80
  4. Step 4: Simplify right side
    4,442x = 12,298,506.05
  5. Step 5: Solve for x
    x = 12,298,506.05/4,442
  6. Step 6: Final answer
    x = 2,768.69

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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.