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Finding the Fourth Proportional to 2,154.34, 3,231.53 and 1,724.23

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Solution

The fourth proportional to 2,154.34, 3,231.53 and 1,724.23 is: 2,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.34 : 3,231.53 = 1,724.23 : x
  2. Step 2: Convert to fraction form
    2,154.34/3,231.53 = 1,724.23/x
  3. Step 3: Cross multiply
    2,154.34x = 3,231.53 × 1,724.23
  4. Step 4: Simplify right side
    2,154.34x = 5,571,876.19
  5. Step 5: Solve for x
    x = 5,571,876.19/2,154.34
  6. Step 6: Final answer
    x = 2,586.36

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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.