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Finding the Fourth Proportional to 2,683.78, 4,024.09 and 1,222.13

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Solution

The fourth proportional to 2,683.78, 4,024.09 and 1,222.13 is: 1,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.78 : 4,024.09 = 1,222.13 : x
  2. Step 2: Convert to fraction form
    2,683.78/4,024.09 = 1,222.13/x
  3. Step 3: Cross multiply
    2,683.78x = 4,024.09 × 1,222.13
  4. Step 4: Simplify right side
    2,683.78x = 4,917,968.12
  5. Step 5: Solve for x
    x = 4,917,968.12/2,683.78
  6. Step 6: Final answer
    x = 1,832.48

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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.