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Finding the Fourth Proportional to 1,644.33, 2,464.93 and 547.93

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Solution

The fourth proportional to 1,644.33, 2,464.93 and 547.93 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.33 : 2,464.93 = 547.93 : x
  2. Step 2: Convert to fraction form
    1,644.33/2,464.93 = 547.93/x
  3. Step 3: Cross multiply
    1,644.33x = 2,464.93 × 547.93
  4. Step 4: Simplify right side
    1,644.33x = 1,350,609.09
  5. Step 5: Solve for x
    x = 1,350,609.09/1,644.33
  6. Step 6: Final answer
    x = 821.37

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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.