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Finding the Fourth Proportional to 2,301.92, 3,450.14 and 1,326

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Solution

The fourth proportional to 2,301.92, 3,450.14 and 1,326 is: 1,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.92 : 3,450.14 = 1,326 : x
  2. Step 2: Convert to fraction form
    2,301.92/3,450.14 = 1,326/x
  3. Step 3: Cross multiply
    2,301.92x = 3,450.14 × 1,326
  4. Step 4: Simplify right side
    2,301.92x = 4,574,885.64
  5. Step 5: Solve for x
    x = 4,574,885.64/2,301.92
  6. Step 6: Final answer
    x = 1,987.42

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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.