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Finding the Fourth Proportional to 1,644.16, 2,462.80 and 767.42

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Solution

The fourth proportional to 1,644.16, 2,462.80 and 767.42 is: 1,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.16 : 2,462.80 = 767.42 : x
  2. Step 2: Convert to fraction form
    1,644.16/2,462.80 = 767.42/x
  3. Step 3: Cross multiply
    1,644.16x = 2,462.80 × 767.42
  4. Step 4: Simplify right side
    1,644.16x = 1,890,001.98
  5. Step 5: Solve for x
    x = 1,890,001.98/1,644.16
  6. Step 6: Final answer
    x = 1,149.52

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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.