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Finding the Fourth Proportional to 1,726.47, 2,589.35 and 493.55

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Solution

The fourth proportional to 1,726.47, 2,589.35 and 493.55 is: 740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.47 : 2,589.35 = 493.55 : x
  2. Step 2: Convert to fraction form
    1,726.47/2,589.35 = 493.55/x
  3. Step 3: Cross multiply
    1,726.47x = 2,589.35 × 493.55
  4. Step 4: Simplify right side
    1,726.47x = 1,277,958.28
  5. Step 5: Solve for x
    x = 1,277,958.28/1,726.47
  6. Step 6: Final answer
    x = 740.21

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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.