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Finding the Fourth Proportional to 4,764.42, 7,146.95 and 1,644.73

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Solution

The fourth proportional to 4,764.42, 7,146.95 and 1,644.73 is: 2,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.42 : 7,146.95 = 1,644.73 : x
  2. Step 2: Convert to fraction form
    4,764.42/7,146.95 = 1,644.73/x
  3. Step 3: Cross multiply
    4,764.42x = 7,146.95 × 1,644.73
  4. Step 4: Simplify right side
    4,764.42x = 11,754,776.98
  5. Step 5: Solve for x
    x = 11,754,776.98/4,764.42
  6. Step 6: Final answer
    x = 2,467.20

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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.