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Finding the Fourth Proportional to 1,980.29, 2,732.85 and 1,096.17

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Solution

The fourth proportional to 1,980.29, 2,732.85 and 1,096.17 is: 1,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.29 : 2,732.85 = 1,096.17 : x
  2. Step 2: Convert to fraction form
    1,980.29/2,732.85 = 1,096.17/x
  3. Step 3: Cross multiply
    1,980.29x = 2,732.85 × 1,096.17
  4. Step 4: Simplify right side
    1,980.29x = 2,995,668.18
  5. Step 5: Solve for x
    x = 2,995,668.18/1,980.29
  6. Step 6: Final answer
    x = 1,512.75

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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.