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Finding the Fourth Proportional to 2,980.52, 4,112.86 and 1,635.92

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Solution

The fourth proportional to 2,980.52, 4,112.86 and 1,635.92 is: 2,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.52 : 4,112.86 = 1,635.92 : x
  2. Step 2: Convert to fraction form
    2,980.52/4,112.86 = 1,635.92/x
  3. Step 3: Cross multiply
    2,980.52x = 4,112.86 × 1,635.92
  4. Step 4: Simplify right side
    2,980.52x = 6,728,285.28
  5. Step 5: Solve for x
    x = 6,728,285.28/2,980.52
  6. Step 6: Final answer
    x = 2,257.42

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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.