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Finding the Fourth Proportional to 2,744.56, 3,762.07 and 2,707.64

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Solution

The fourth proportional to 2,744.56, 3,762.07 and 2,707.64 is: 3,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.56 : 3,762.07 = 2,707.64 : x
  2. Step 2: Convert to fraction form
    2,744.56/3,762.07 = 2,707.64/x
  3. Step 3: Cross multiply
    2,744.56x = 3,762.07 × 2,707.64
  4. Step 4: Simplify right side
    2,744.56x = 10,186,331.21
  5. Step 5: Solve for x
    x = 10,186,331.21/2,744.56
  6. Step 6: Final answer
    x = 3,711.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.