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Finding the Fourth Proportional to 2,471.34, 3,408.87 and 1,725.02

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Solution

The fourth proportional to 2,471.34, 3,408.87 and 1,725.02 is: 2,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.34 : 3,408.87 = 1,725.02 : x
  2. Step 2: Convert to fraction form
    2,471.34/3,408.87 = 1,725.02/x
  3. Step 3: Cross multiply
    2,471.34x = 3,408.87 × 1,725.02
  4. Step 4: Simplify right side
    2,471.34x = 5,880,371.02
  5. Step 5: Solve for x
    x = 5,880,371.02/2,471.34
  6. Step 6: Final answer
    x = 2,379.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.