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Finding the Fourth Proportional to 2,034.45, 2,806.16 and 1,443.96

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Solution

The fourth proportional to 2,034.45, 2,806.16 and 1,443.96 is: 1,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.45 : 2,806.16 = 1,443.96 : x
  2. Step 2: Convert to fraction form
    2,034.45/2,806.16 = 1,443.96/x
  3. Step 3: Cross multiply
    2,034.45x = 2,806.16 × 1,443.96
  4. Step 4: Simplify right side
    2,034.45x = 4,051,975.57
  5. Step 5: Solve for x
    x = 4,051,975.57/2,034.45
  6. Step 6: Final answer
    x = 1,991.68

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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.