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Finding the Fourth Proportional to 2,738.99, 4,111.56 and 1,096.68

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Solution

The fourth proportional to 2,738.99, 4,111.56 and 1,096.68 is: 1,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.99 : 4,111.56 = 1,096.68 : x
  2. Step 2: Convert to fraction form
    2,738.99/4,111.56 = 1,096.68/x
  3. Step 3: Cross multiply
    2,738.99x = 4,111.56 × 1,096.68
  4. Step 4: Simplify right side
    2,738.99x = 4,509,065.62
  5. Step 5: Solve for x
    x = 4,509,065.62/2,738.99
  6. Step 6: Final answer
    x = 1,646.25

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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.