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Finding the Fourth Proportional to 1,825.57, 2,739.12 and 1,241.20

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Solution

The fourth proportional to 1,825.57, 2,739.12 and 1,241.20 is: 1,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.57 : 2,739.12 = 1,241.20 : x
  2. Step 2: Convert to fraction form
    1,825.57/2,739.12 = 1,241.20/x
  3. Step 3: Cross multiply
    1,825.57x = 2,739.12 × 1,241.20
  4. Step 4: Simplify right side
    1,825.57x = 3,399,795.74
  5. Step 5: Solve for x
    x = 3,399,795.74/1,825.57
  6. Step 6: Final answer
    x = 1,862.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.