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Finding the Fourth Proportional to 1,726, 2,589.41 and 571.75

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Solution

The fourth proportional to 1,726, 2,589.41 and 571.75 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726 : 2,589.41 = 571.75 : x
  2. Step 2: Convert to fraction form
    1,726/2,589.41 = 571.75/x
  3. Step 3: Cross multiply
    1,726x = 2,589.41 × 571.75
  4. Step 4: Simplify right side
    1,726x = 1,480,495.17
  5. Step 5: Solve for x
    x = 1,480,495.17/1,726
  6. Step 6: Final answer
    x = 857.76

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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.