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Finding the Fourth Proportional to 4,433.48, 6,648.72 and 1,968.20

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Solution

The fourth proportional to 4,433.48, 6,648.72 and 1,968.20 is: 2,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.48 : 6,648.72 = 1,968.20 : x
  2. Step 2: Convert to fraction form
    4,433.48/6,648.72 = 1,968.20/x
  3. Step 3: Cross multiply
    4,433.48x = 6,648.72 × 1,968.20
  4. Step 4: Simplify right side
    4,433.48x = 13,086,010.70
  5. Step 5: Solve for x
    x = 13,086,010.70/4,433.48
  6. Step 6: Final answer
    x = 2,951.63

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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.