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Finding the Fourth Proportional to 2,786.55, 3,852 and 2,232.51

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Solution

The fourth proportional to 2,786.55, 3,852 and 2,232.51 is: 3,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.55 : 3,852 = 2,232.51 : x
  2. Step 2: Convert to fraction form
    2,786.55/3,852 = 2,232.51/x
  3. Step 3: Cross multiply
    2,786.55x = 3,852 × 2,232.51
  4. Step 4: Simplify right side
    2,786.55x = 8,599,628.52
  5. Step 5: Solve for x
    x = 8,599,628.52/2,786.55
  6. Step 6: Final answer
    x = 3,086.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.