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Finding the Fourth Proportional to 2,065.26, 3,096.98 and 969.03

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Solution

The fourth proportional to 2,065.26, 3,096.98 and 969.03 is: 1,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.26 : 3,096.98 = 969.03 : x
  2. Step 2: Convert to fraction form
    2,065.26/3,096.98 = 969.03/x
  3. Step 3: Cross multiply
    2,065.26x = 3,096.98 × 969.03
  4. Step 4: Simplify right side
    2,065.26x = 3,001,061.68
  5. Step 5: Solve for x
    x = 3,001,061.68/2,065.26
  6. Step 6: Final answer
    x = 1,453.12

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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.