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Finding the Fourth Proportional to 2,445.46, 3,667.31 and 885.06

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Solution

The fourth proportional to 2,445.46, 3,667.31 and 885.06 is: 1,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.46 : 3,667.31 = 885.06 : x
  2. Step 2: Convert to fraction form
    2,445.46/3,667.31 = 885.06/x
  3. Step 3: Cross multiply
    2,445.46x = 3,667.31 × 885.06
  4. Step 4: Simplify right side
    2,445.46x = 3,245,788.28
  5. Step 5: Solve for x
    x = 3,245,788.28/2,445.46
  6. Step 6: Final answer
    x = 1,327.27

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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.