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Finding the Fourth Proportional to 2,548.67, 3,823.07 and 905.38

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Solution

The fourth proportional to 2,548.67, 3,823.07 and 905.38 is: 1,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.67 : 3,823.07 = 905.38 : x
  2. Step 2: Convert to fraction form
    2,548.67/3,823.07 = 905.38/x
  3. Step 3: Cross multiply
    2,548.67x = 3,823.07 × 905.38
  4. Step 4: Simplify right side
    2,548.67x = 3,461,317.03
  5. Step 5: Solve for x
    x = 3,461,317.03/2,548.67
  6. Step 6: Final answer
    x = 1,358.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.