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Finding the Fourth Proportional to 1,747.26, 2,620.62 and 593.01

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Solution

The fourth proportional to 1,747.26, 2,620.62 and 593.01 is: 889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.26 : 2,620.62 = 593.01 : x
  2. Step 2: Convert to fraction form
    1,747.26/2,620.62 = 593.01/x
  3. Step 3: Cross multiply
    1,747.26x = 2,620.62 × 593.01
  4. Step 4: Simplify right side
    1,747.26x = 1,554,053.87
  5. Step 5: Solve for x
    x = 1,554,053.87/1,747.26
  6. Step 6: Final answer
    x = 889.42

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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.