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Finding the Fourth Proportional to 2,740.84, 4,112.17 and 1,096.54

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Solution

The fourth proportional to 2,740.84, 4,112.17 and 1,096.54 is: 1,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.84 : 4,112.17 = 1,096.54 : x
  2. Step 2: Convert to fraction form
    2,740.84/4,112.17 = 1,096.54/x
  3. Step 3: Cross multiply
    2,740.84x = 4,112.17 × 1,096.54
  4. Step 4: Simplify right side
    2,740.84x = 4,509,145.87
  5. Step 5: Solve for x
    x = 4,509,145.87/2,740.84
  6. Step 6: Final answer
    x = 1,645.17

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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.