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Finding the Fourth Proportional to 1,825.96, 2,738.99 and 593.38

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Solution

The fourth proportional to 1,825.96, 2,738.99 and 593.38 is: 890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.96 : 2,738.99 = 593.38 : x
  2. Step 2: Convert to fraction form
    1,825.96/2,738.99 = 593.38/x
  3. Step 3: Cross multiply
    1,825.96x = 2,738.99 × 593.38
  4. Step 4: Simplify right side
    1,825.96x = 1,625,261.89
  5. Step 5: Solve for x
    x = 1,625,261.89/1,825.96
  6. Step 6: Final answer
    x = 890.09

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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.