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Finding the Fourth Proportional to 2,015.98, 2,783.16 and 1,484.41

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Solution

The fourth proportional to 2,015.98, 2,783.16 and 1,484.41 is: 2,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.98 : 2,783.16 = 1,484.41 : x
  2. Step 2: Convert to fraction form
    2,015.98/2,783.16 = 1,484.41/x
  3. Step 3: Cross multiply
    2,015.98x = 2,783.16 × 1,484.41
  4. Step 4: Simplify right side
    2,015.98x = 4,131,350.54
  5. Step 5: Solve for x
    x = 4,131,350.54/2,015.98
  6. Step 6: Final answer
    x = 2,049.30

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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.