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Finding the Fourth Proportional to 2,162.57, 3,245.43 and 1,467.59

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Solution

The fourth proportional to 2,162.57, 3,245.43 and 1,467.59 is: 2,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.57 : 3,245.43 = 1,467.59 : x
  2. Step 2: Convert to fraction form
    2,162.57/3,245.43 = 1,467.59/x
  3. Step 3: Cross multiply
    2,162.57x = 3,245.43 × 1,467.59
  4. Step 4: Simplify right side
    2,162.57x = 4,762,960.61
  5. Step 5: Solve for x
    x = 4,762,960.61/2,162.57
  6. Step 6: Final answer
    x = 2,202.45

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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.