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Finding the Fourth Proportional to 2,164.90, 3,245.70 and 1,548.22

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Solution

The fourth proportional to 2,164.90, 3,245.70 and 1,548.22 is: 2,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.90 : 3,245.70 = 1,548.22 : x
  2. Step 2: Convert to fraction form
    2,164.90/3,245.70 = 1,548.22/x
  3. Step 3: Cross multiply
    2,164.90x = 3,245.70 × 1,548.22
  4. Step 4: Simplify right side
    2,164.90x = 5,025,057.65
  5. Step 5: Solve for x
    x = 5,025,057.65/2,164.90
  6. Step 6: Final answer
    x = 2,321.15

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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.