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Finding the Fourth Proportional to 2,744.70, 4,117.06 and 1,100.78

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Solution

The fourth proportional to 2,744.70, 4,117.06 and 1,100.78 is: 1,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 4,117.06 = 1,100.78 : x
  2. Step 2: Convert to fraction form
    2,744.70/4,117.06 = 1,100.78/x
  3. Step 3: Cross multiply
    2,744.70x = 4,117.06 × 1,100.78
  4. Step 4: Simplify right side
    2,744.70x = 4,531,977.31
  5. Step 5: Solve for x
    x = 4,531,977.31/2,744.70
  6. Step 6: Final answer
    x = 1,651.17

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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.