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Finding the Fourth Proportional to 2,610.81, 3,916.04 and 967.23

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Solution

The fourth proportional to 2,610.81, 3,916.04 and 967.23 is: 1,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.81 : 3,916.04 = 967.23 : x
  2. Step 2: Convert to fraction form
    2,610.81/3,916.04 = 967.23/x
  3. Step 3: Cross multiply
    2,610.81x = 3,916.04 × 967.23
  4. Step 4: Simplify right side
    2,610.81x = 3,787,706.53
  5. Step 5: Solve for x
    x = 3,787,706.53/2,610.81
  6. Step 6: Final answer
    x = 1,450.78

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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.