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Finding the Fourth Proportional to 1,726.36, 2,589.19 and 493.48

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Solution

The fourth proportional to 1,726.36, 2,589.19 and 493.48 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.36 : 2,589.19 = 493.48 : x
  2. Step 2: Convert to fraction form
    1,726.36/2,589.19 = 493.48/x
  3. Step 3: Cross multiply
    1,726.36x = 2,589.19 × 493.48
  4. Step 4: Simplify right side
    1,726.36x = 1,277,713.48
  5. Step 5: Solve for x
    x = 1,277,713.48/1,726.36
  6. Step 6: Final answer
    x = 740.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.