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Finding the Fourth Proportional to 2,218.78, 3,328.80 and 1,122.94

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Solution

The fourth proportional to 2,218.78, 3,328.80 and 1,122.94 is: 1,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.78 : 3,328.80 = 1,122.94 : x
  2. Step 2: Convert to fraction form
    2,218.78/3,328.80 = 1,122.94/x
  3. Step 3: Cross multiply
    2,218.78x = 3,328.80 × 1,122.94
  4. Step 4: Simplify right side
    2,218.78x = 3,738,042.67
  5. Step 5: Solve for x
    x = 3,738,042.67/2,218.78
  6. Step 6: Final answer
    x = 1,684.73

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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.