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Finding the Fourth Proportional to 2,893.02, 3,996.45 and 2,302.80

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Solution

The fourth proportional to 2,893.02, 3,996.45 and 2,302.80 is: 3,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.02 : 3,996.45 = 2,302.80 : x
  2. Step 2: Convert to fraction form
    2,893.02/3,996.45 = 2,302.80/x
  3. Step 3: Cross multiply
    2,893.02x = 3,996.45 × 2,302.80
  4. Step 4: Simplify right side
    2,893.02x = 9,203,025.06
  5. Step 5: Solve for x
    x = 9,203,025.06/2,893.02
  6. Step 6: Final answer
    x = 3,181.11

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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.