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Finding the Fourth Proportional to 1,738.01, 2,606.73 and 568

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Solution

The fourth proportional to 1,738.01, 2,606.73 and 568 is: 851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.01 : 2,606.73 = 568 : x
  2. Step 2: Convert to fraction form
    1,738.01/2,606.73 = 568/x
  3. Step 3: Cross multiply
    1,738.01x = 2,606.73 × 568
  4. Step 4: Simplify right side
    1,738.01x = 1,480,624.06
  5. Step 5: Solve for x
    x = 1,480,624.06/1,738.01
  6. Step 6: Final answer
    x = 851.91

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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.