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Finding the Fourth Proportional to 1,589.18, 2,194.16 and 991.91

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Solution

The fourth proportional to 1,589.18, 2,194.16 and 991.91 is: 1,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.18 : 2,194.16 = 991.91 : x
  2. Step 2: Convert to fraction form
    1,589.18/2,194.16 = 991.91/x
  3. Step 3: Cross multiply
    1,589.18x = 2,194.16 × 991.91
  4. Step 4: Simplify right side
    1,589.18x = 2,176,409.25
  5. Step 5: Solve for x
    x = 2,176,409.25/1,589.18
  6. Step 6: Final answer
    x = 1,369.52

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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.