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Finding the Fourth Proportional to 3,083.78, 4,257.02 and 1,966.23

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Solution

The fourth proportional to 3,083.78, 4,257.02 and 1,966.23 is: 2,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.78 : 4,257.02 = 1,966.23 : x
  2. Step 2: Convert to fraction form
    3,083.78/4,257.02 = 1,966.23/x
  3. Step 3: Cross multiply
    3,083.78x = 4,257.02 × 1,966.23
  4. Step 4: Simplify right side
    3,083.78x = 8,370,280.43
  5. Step 5: Solve for x
    x = 8,370,280.43/3,083.78
  6. Step 6: Final answer
    x = 2,714.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.