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Finding the Fourth Proportional to 2,033.70, 2,806.48 and 1,149.44

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Solution

The fourth proportional to 2,033.70, 2,806.48 and 1,149.44 is: 1,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.70 : 2,806.48 = 1,149.44 : x
  2. Step 2: Convert to fraction form
    2,033.70/2,806.48 = 1,149.44/x
  3. Step 3: Cross multiply
    2,033.70x = 2,806.48 × 1,149.44
  4. Step 4: Simplify right side
    2,033.70x = 3,225,880.37
  5. Step 5: Solve for x
    x = 3,225,880.37/2,033.70
  6. Step 6: Final answer
    x = 1,586.21

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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.