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Finding the Fourth Proportional to 1,991.46, 2,747.91 and 1,152

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Solution

The fourth proportional to 1,991.46, 2,747.91 and 1,152 is: 1,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.46 : 2,747.91 = 1,152 : x
  2. Step 2: Convert to fraction form
    1,991.46/2,747.91 = 1,152/x
  3. Step 3: Cross multiply
    1,991.46x = 2,747.91 × 1,152
  4. Step 4: Simplify right side
    1,991.46x = 3,165,592.32
  5. Step 5: Solve for x
    x = 3,165,592.32/1,991.46
  6. Step 6: Final answer
    x = 1,589.58

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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.