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Finding the Fourth Proportional to 3,203.76, 4,805.91 and 2,343.54

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Solution

The fourth proportional to 3,203.76, 4,805.91 and 2,343.54 is: 3,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.76 : 4,805.91 = 2,343.54 : x
  2. Step 2: Convert to fraction form
    3,203.76/4,805.91 = 2,343.54/x
  3. Step 3: Cross multiply
    3,203.76x = 4,805.91 × 2,343.54
  4. Step 4: Simplify right side
    3,203.76x = 11,262,842.32
  5. Step 5: Solve for x
    x = 11,262,842.32/3,203.76
  6. Step 6: Final answer
    x = 3,515.51

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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.