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Finding the Fourth Proportional to 1,589.77, 2,194.32 and 926.83

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Solution

The fourth proportional to 1,589.77, 2,194.32 and 926.83 is: 1,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.77 : 2,194.32 = 926.83 : x
  2. Step 2: Convert to fraction form
    1,589.77/2,194.32 = 926.83/x
  3. Step 3: Cross multiply
    1,589.77x = 2,194.32 × 926.83
  4. Step 4: Simplify right side
    1,589.77x = 2,033,761.61
  5. Step 5: Solve for x
    x = 2,033,761.61/1,589.77
  6. Step 6: Final answer
    x = 1,279.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.