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Finding the Fourth Proportional to 2,548.96, 3,823.82 and 905.37

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Solution

The fourth proportional to 2,548.96, 3,823.82 and 905.37 is: 1,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.96 : 3,823.82 = 905.37 : x
  2. Step 2: Convert to fraction form
    2,548.96/3,823.82 = 905.37/x
  3. Step 3: Cross multiply
    2,548.96x = 3,823.82 × 905.37
  4. Step 4: Simplify right side
    2,548.96x = 3,461,948.27
  5. Step 5: Solve for x
    x = 3,461,948.27/2,548.96
  6. Step 6: Final answer
    x = 1,358.18

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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.