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Finding the Fourth Proportional to 1,589.61, 2,194.25 and 1,195.95

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Solution

The fourth proportional to 1,589.61, 2,194.25 and 1,195.95 is: 1,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.61 : 2,194.25 = 1,195.95 : x
  2. Step 2: Convert to fraction form
    1,589.61/2,194.25 = 1,195.95/x
  3. Step 3: Cross multiply
    1,589.61x = 2,194.25 × 1,195.95
  4. Step 4: Simplify right side
    1,589.61x = 2,624,207.31
  5. Step 5: Solve for x
    x = 2,624,207.31/1,589.61
  6. Step 6: Final answer
    x = 1,650.85

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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.