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Finding the Fourth Proportional to 3,202.40, 4,805.34 and 1,558.96

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Solution

The fourth proportional to 3,202.40, 4,805.34 and 1,558.96 is: 2,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.40 : 4,805.34 = 1,558.96 : x
  2. Step 2: Convert to fraction form
    3,202.40/4,805.34 = 1,558.96/x
  3. Step 3: Cross multiply
    3,202.40x = 4,805.34 × 1,558.96
  4. Step 4: Simplify right side
    3,202.40x = 7,491,332.85
  5. Step 5: Solve for x
    x = 7,491,332.85/3,202.40
  6. Step 6: Final answer
    x = 2,339.29

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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.