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Finding the Fourth Proportional to 2,684.54, 4,024.69 and 1,222.90

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Solution

The fourth proportional to 2,684.54, 4,024.69 and 1,222.90 is: 1,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.54 : 4,024.69 = 1,222.90 : x
  2. Step 2: Convert to fraction form
    2,684.54/4,024.69 = 1,222.90/x
  3. Step 3: Cross multiply
    2,684.54x = 4,024.69 × 1,222.90
  4. Step 4: Simplify right side
    2,684.54x = 4,921,780.28
  5. Step 5: Solve for x
    x = 4,921,780.28/2,684.54
  6. Step 6: Final answer
    x = 1,833.38

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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.