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Finding the Fourth Proportional to 1,726.40, 2,589.05 and 571.88

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Solution

The fourth proportional to 1,726.40, 2,589.05 and 571.88 is: 857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.40 : 2,589.05 = 571.88 : x
  2. Step 2: Convert to fraction form
    1,726.40/2,589.05 = 571.88/x
  3. Step 3: Cross multiply
    1,726.40x = 2,589.05 × 571.88
  4. Step 4: Simplify right side
    1,726.40x = 1,480,610.11
  5. Step 5: Solve for x
    x = 1,480,610.11/1,726.40
  6. Step 6: Final answer
    x = 857.63

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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.