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Finding the Fourth Proportional to 1,980.56, 2,733.12 and 1,096.34

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Solution

The fourth proportional to 1,980.56, 2,733.12 and 1,096.34 is: 1,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.56 : 2,733.12 = 1,096.34 : x
  2. Step 2: Convert to fraction form
    1,980.56/2,733.12 = 1,096.34/x
  3. Step 3: Cross multiply
    1,980.56x = 2,733.12 × 1,096.34
  4. Step 4: Simplify right side
    1,980.56x = 2,996,428.78
  5. Step 5: Solve for x
    x = 2,996,428.78/1,980.56
  6. Step 6: Final answer
    x = 1,512.92

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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.