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Finding the Fourth Proportional to 1,966.26, 2,716.80 and 1,717.20

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Solution

The fourth proportional to 1,966.26, 2,716.80 and 1,717.20 is: 2,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.26 : 2,716.80 = 1,717.20 : x
  2. Step 2: Convert to fraction form
    1,966.26/2,716.80 = 1,717.20/x
  3. Step 3: Cross multiply
    1,966.26x = 2,716.80 × 1,717.20
  4. Step 4: Simplify right side
    1,966.26x = 4,665,288.96
  5. Step 5: Solve for x
    x = 4,665,288.96/1,966.26
  6. Step 6: Final answer
    x = 2,372.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.