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Finding the Fourth Proportional to 3,256.00, 4,492.23 and 1,996.43

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Solution

The fourth proportional to 3,256.00, 4,492.23 and 1,996.43 is: 2,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.00 : 4,492.23 = 1,996.43 : x
  2. Step 2: Convert to fraction form
    3,256.00/4,492.23 = 1,996.43/x
  3. Step 3: Cross multiply
    3,256.00x = 4,492.23 × 1,996.43
  4. Step 4: Simplify right side
    3,256.00x = 8,968,392.79
  5. Step 5: Solve for x
    x = 8,968,392.79/3,256.00
  6. Step 6: Final answer
    x = 2,754.42

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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.