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Finding the Fourth Proportional to 2,635.56, 3,954.04 and 786.68

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Solution

The fourth proportional to 2,635.56, 3,954.04 and 786.68 is: 1,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.56 : 3,954.04 = 786.68 : x
  2. Step 2: Convert to fraction form
    2,635.56/3,954.04 = 786.68/x
  3. Step 3: Cross multiply
    2,635.56x = 3,954.04 × 786.68
  4. Step 4: Simplify right side
    2,635.56x = 3,110,564.19
  5. Step 5: Solve for x
    x = 3,110,564.19/2,635.56
  6. Step 6: Final answer
    x = 1,180.23

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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.