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Finding the Fourth Proportional to 3,072.32, 4,608.78 and 1,223

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Solution

The fourth proportional to 3,072.32, 4,608.78 and 1,223 is: 1,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.32 : 4,608.78 = 1,223 : x
  2. Step 2: Convert to fraction form
    3,072.32/4,608.78 = 1,223/x
  3. Step 3: Cross multiply
    3,072.32x = 4,608.78 × 1,223
  4. Step 4: Simplify right side
    3,072.32x = 5,636,531.83
  5. Step 5: Solve for x
    x = 5,636,531.83/3,072.32
  6. Step 6: Final answer
    x = 1,834.62

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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.