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Finding the Fourth Proportional to 2,923.73, 4,364.78 and 2,821.22

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Solution

The fourth proportional to 2,923.73, 4,364.78 and 2,821.22 is: 4,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.73 : 4,364.78 = 2,821.22 : x
  2. Step 2: Convert to fraction form
    2,923.73/4,364.78 = 2,821.22/x
  3. Step 3: Cross multiply
    2,923.73x = 4,364.78 × 2,821.22
  4. Step 4: Simplify right side
    2,923.73x = 12,313,968.70
  5. Step 5: Solve for x
    x = 12,313,968.70/2,923.73
  6. Step 6: Final answer
    x = 4,211.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.