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Finding the Fourth Proportional to 2,154.56, 3,231.17 and 1,427.99

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Solution

The fourth proportional to 2,154.56, 3,231.17 and 1,427.99 is: 2,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.56 : 3,231.17 = 1,427.99 : x
  2. Step 2: Convert to fraction form
    2,154.56/3,231.17 = 1,427.99/x
  3. Step 3: Cross multiply
    2,154.56x = 3,231.17 × 1,427.99
  4. Step 4: Simplify right side
    2,154.56x = 4,614,071.31
  5. Step 5: Solve for x
    x = 4,614,071.31/2,154.56
  6. Step 6: Final answer
    x = 2,141.54

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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.