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Finding the Fourth Proportional to 2,998.32, 4,495.72 and 1,149.56

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Solution

The fourth proportional to 2,998.32, 4,495.72 and 1,149.56 is: 1,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.32 : 4,495.72 = 1,149.56 : x
  2. Step 2: Convert to fraction form
    2,998.32/4,495.72 = 1,149.56/x
  3. Step 3: Cross multiply
    2,998.32x = 4,495.72 × 1,149.56
  4. Step 4: Simplify right side
    2,998.32x = 5,168,099.88
  5. Step 5: Solve for x
    x = 5,168,099.88/2,998.32
  6. Step 6: Final answer
    x = 1,723.67

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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.