Home / 2,441.24-3,662.40-1,142

Finding the Fourth Proportional to 2,441.24, 3,662.40 and 1,142

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Solution

The fourth proportional to 2,441.24, 3,662.40 and 1,142 is: 1,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.24 : 3,662.40 = 1,142 : x
  2. Step 2: Convert to fraction form
    2,441.24/3,662.40 = 1,142/x
  3. Step 3: Cross multiply
    2,441.24x = 3,662.40 × 1,142
  4. Step 4: Simplify right side
    2,441.24x = 4,182,460.80
  5. Step 5: Solve for x
    x = 4,182,460.80/2,441.24
  6. Step 6: Final answer
    x = 1,713.25

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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.