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Finding the Fourth Proportional to 2,783.44, 4,166.52 and 2,014.48

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Solution

The fourth proportional to 2,783.44, 4,166.52 and 2,014.48 is: 3,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.44 : 4,166.52 = 2,014.48 : x
  2. Step 2: Convert to fraction form
    2,783.44/4,166.52 = 2,014.48/x
  3. Step 3: Cross multiply
    2,783.44x = 4,166.52 × 2,014.48
  4. Step 4: Simplify right side
    2,783.44x = 8,393,371.21
  5. Step 5: Solve for x
    x = 8,393,371.21/2,783.44
  6. Step 6: Final answer
    x = 3,015.47

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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.