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Finding the Fourth Proportional to 1,726.24, 2,589.52 and 572

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Solution

The fourth proportional to 1,726.24, 2,589.52 and 572 is: 858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.24 : 2,589.52 = 572 : x
  2. Step 2: Convert to fraction form
    1,726.24/2,589.52 = 572/x
  3. Step 3: Cross multiply
    1,726.24x = 2,589.52 × 572
  4. Step 4: Simplify right side
    1,726.24x = 1,481,205.44
  5. Step 5: Solve for x
    x = 1,481,205.44/1,726.24
  6. Step 6: Final answer
    x = 858.05

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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.