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Finding the Fourth Proportional to 3,016.94, 4,525.41 and 825.68

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Solution

The fourth proportional to 3,016.94, 4,525.41 and 825.68 is: 1,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.94 : 4,525.41 = 825.68 : x
  2. Step 2: Convert to fraction form
    3,016.94/4,525.41 = 825.68/x
  3. Step 3: Cross multiply
    3,016.94x = 4,525.41 × 825.68
  4. Step 4: Simplify right side
    3,016.94x = 3,736,536.40
  5. Step 5: Solve for x
    x = 3,736,536.40/3,016.94
  6. Step 6: Final answer
    x = 1,238.52

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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.