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Finding the Fourth Proportional to 1,726.97, 2,589.66 and 947.25

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Solution

The fourth proportional to 1,726.97, 2,589.66 and 947.25 is: 1,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.97 : 2,589.66 = 947.25 : x
  2. Step 2: Convert to fraction form
    1,726.97/2,589.66 = 947.25/x
  3. Step 3: Cross multiply
    1,726.97x = 2,589.66 × 947.25
  4. Step 4: Simplify right side
    1,726.97x = 2,453,055.44
  5. Step 5: Solve for x
    x = 2,453,055.44/1,726.97
  6. Step 6: Final answer
    x = 1,420.44

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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.