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Finding the Fourth Proportional to 2,099.54, 3,144.92 and 1,403.96

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Solution

The fourth proportional to 2,099.54, 3,144.92 and 1,403.96 is: 2,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.54 : 3,144.92 = 1,403.96 : x
  2. Step 2: Convert to fraction form
    2,099.54/3,144.92 = 1,403.96/x
  3. Step 3: Cross multiply
    2,099.54x = 3,144.92 × 1,403.96
  4. Step 4: Simplify right side
    2,099.54x = 4,415,319.14
  5. Step 5: Solve for x
    x = 4,415,319.14/2,099.54
  6. Step 6: Final answer
    x = 2,102.99

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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.