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Finding the Fourth Proportional to 1,825.70, 2,738.84 and 593.01

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Solution

The fourth proportional to 1,825.70, 2,738.84 and 593.01 is: 889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.70 : 2,738.84 = 593.01 : x
  2. Step 2: Convert to fraction form
    1,825.70/2,738.84 = 593.01/x
  3. Step 3: Cross multiply
    1,825.70x = 2,738.84 × 593.01
  4. Step 4: Simplify right side
    1,825.70x = 1,624,156.54
  5. Step 5: Solve for x
    x = 1,624,156.54/1,825.70
  6. Step 6: Final answer
    x = 889.61

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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.