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Finding the Fourth Proportional to 1,804.49, 2,706.56 and 1,223.23

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Solution

The fourth proportional to 1,804.49, 2,706.56 and 1,223.23 is: 1,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.49 : 2,706.56 = 1,223.23 : x
  2. Step 2: Convert to fraction form
    1,804.49/2,706.56 = 1,223.23/x
  3. Step 3: Cross multiply
    1,804.49x = 2,706.56 × 1,223.23
  4. Step 4: Simplify right side
    1,804.49x = 3,310,734.56
  5. Step 5: Solve for x
    x = 3,310,734.56/1,804.49
  6. Step 6: Final answer
    x = 1,834.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.