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Finding the Fourth Proportional to 2,223.78, 3,334.53 and 1,299.54

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Solution

The fourth proportional to 2,223.78, 3,334.53 and 1,299.54 is: 1,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.78 : 3,334.53 = 1,299.54 : x
  2. Step 2: Convert to fraction form
    2,223.78/3,334.53 = 1,299.54/x
  3. Step 3: Cross multiply
    2,223.78x = 3,334.53 × 1,299.54
  4. Step 4: Simplify right side
    2,223.78x = 4,333,355.12
  5. Step 5: Solve for x
    x = 4,333,355.12/2,223.78
  6. Step 6: Final answer
    x = 1,948.64

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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.