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Finding the Fourth Proportional to 2,832.85, 4,247.63 and 1,099.45

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Solution

The fourth proportional to 2,832.85, 4,247.63 and 1,099.45 is: 1,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.85 : 4,247.63 = 1,099.45 : x
  2. Step 2: Convert to fraction form
    2,832.85/4,247.63 = 1,099.45/x
  3. Step 3: Cross multiply
    2,832.85x = 4,247.63 × 1,099.45
  4. Step 4: Simplify right side
    2,832.85x = 4,670,051.31
  5. Step 5: Solve for x
    x = 4,670,051.31/2,832.85
  6. Step 6: Final answer
    x = 1,648.53

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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.