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Finding the Fourth Proportional to 1,980.53, 2,732.84 and 1,096.15

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Solution

The fourth proportional to 1,980.53, 2,732.84 and 1,096.15 is: 1,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.53 : 2,732.84 = 1,096.15 : x
  2. Step 2: Convert to fraction form
    1,980.53/2,732.84 = 1,096.15/x
  3. Step 3: Cross multiply
    1,980.53x = 2,732.84 × 1,096.15
  4. Step 4: Simplify right side
    1,980.53x = 2,995,597.09
  5. Step 5: Solve for x
    x = 2,995,597.09/1,980.53
  6. Step 6: Final answer
    x = 1,512.53

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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.