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Finding the Fourth Proportional to 2,214.54, 3,321.45 and 733.77

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Solution

The fourth proportional to 2,214.54, 3,321.45 and 733.77 is: 1,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.54 : 3,321.45 = 733.77 : x
  2. Step 2: Convert to fraction form
    2,214.54/3,321.45 = 733.77/x
  3. Step 3: Cross multiply
    2,214.54x = 3,321.45 × 733.77
  4. Step 4: Simplify right side
    2,214.54x = 2,437,180.37
  5. Step 5: Solve for x
    x = 2,437,180.37/2,214.54
  6. Step 6: Final answer
    x = 1,100.54

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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.