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Finding the Fourth Proportional to 2,445.31, 3,667.11 and 801.44

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Solution

The fourth proportional to 2,445.31, 3,667.11 and 801.44 is: 1,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.31 : 3,667.11 = 801.44 : x
  2. Step 2: Convert to fraction form
    2,445.31/3,667.11 = 801.44/x
  3. Step 3: Cross multiply
    2,445.31x = 3,667.11 × 801.44
  4. Step 4: Simplify right side
    2,445.31x = 2,938,968.64
  5. Step 5: Solve for x
    x = 2,938,968.64/2,445.31
  6. Step 6: Final answer
    x = 1,201.88

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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.