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Finding the Fourth Proportional to 2,352.81, 3,529.43 and 1,679.42

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Solution

The fourth proportional to 2,352.81, 3,529.43 and 1,679.42 is: 2,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.81 : 3,529.43 = 1,679.42 : x
  2. Step 2: Convert to fraction form
    2,352.81/3,529.43 = 1,679.42/x
  3. Step 3: Cross multiply
    2,352.81x = 3,529.43 × 1,679.42
  4. Step 4: Simplify right side
    2,352.81x = 5,927,414.75
  5. Step 5: Solve for x
    x = 5,927,414.75/2,352.81
  6. Step 6: Final answer
    x = 2,519.29

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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.