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Finding the Fourth Proportional to 3,033.79, 4,159.33 and 2,978.43

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Solution

The fourth proportional to 3,033.79, 4,159.33 and 2,978.43 is: 4,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.79 : 4,159.33 = 2,978.43 : x
  2. Step 2: Convert to fraction form
    3,033.79/4,159.33 = 2,978.43/x
  3. Step 3: Cross multiply
    3,033.79x = 4,159.33 × 2,978.43
  4. Step 4: Simplify right side
    3,033.79x = 12,388,273.25
  5. Step 5: Solve for x
    x = 12,388,273.25/3,033.79
  6. Step 6: Final answer
    x = 4,083.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.