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Finding the Fourth Proportional to 2,321.56, 3,466.99 and 2,195.20

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Solution

The fourth proportional to 2,321.56, 3,466.99 and 2,195.20 is: 3,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.56 : 3,466.99 = 2,195.20 : x
  2. Step 2: Convert to fraction form
    2,321.56/3,466.99 = 2,195.20/x
  3. Step 3: Cross multiply
    2,321.56x = 3,466.99 × 2,195.20
  4. Step 4: Simplify right side
    2,321.56x = 7,610,736.45
  5. Step 5: Solve for x
    x = 7,610,736.45/2,321.56
  6. Step 6: Final answer
    x = 3,278.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.