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Finding the Fourth Proportional to 1,726.32, 2,589.06 and 571.92

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Solution

The fourth proportional to 1,726.32, 2,589.06 and 571.92 is: 857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.32 : 2,589.06 = 571.92 : x
  2. Step 2: Convert to fraction form
    1,726.32/2,589.06 = 571.92/x
  3. Step 3: Cross multiply
    1,726.32x = 2,589.06 × 571.92
  4. Step 4: Simplify right side
    1,726.32x = 1,480,735.20
  5. Step 5: Solve for x
    x = 1,480,735.20/1,726.32
  6. Step 6: Final answer
    x = 857.74

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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.