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Finding the Fourth Proportional to 3,017.24, 4,525.34 and 825.48

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Solution

The fourth proportional to 3,017.24, 4,525.34 and 825.48 is: 1,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.24 : 4,525.34 = 825.48 : x
  2. Step 2: Convert to fraction form
    3,017.24/4,525.34 = 825.48/x
  3. Step 3: Cross multiply
    3,017.24x = 4,525.34 × 825.48
  4. Step 4: Simplify right side
    3,017.24x = 3,735,577.66
  5. Step 5: Solve for x
    x = 3,735,577.66/3,017.24
  6. Step 6: Final answer
    x = 1,238.08

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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.