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Finding the Fourth Proportional to 2,218, 3,324.54 and 1,123.36

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Solution

The fourth proportional to 2,218, 3,324.54 and 1,123.36 is: 1,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,324.54 = 1,123.36 : x
  2. Step 2: Convert to fraction form
    2,218/3,324.54 = 1,123.36/x
  3. Step 3: Cross multiply
    2,218x = 3,324.54 × 1,123.36
  4. Step 4: Simplify right side
    2,218x = 3,734,655.25
  5. Step 5: Solve for x
    x = 3,734,655.25/2,218
  6. Step 6: Final answer
    x = 1,683.79

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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.