Home / 1,896.24-2,842.20-741.36

Finding the Fourth Proportional to 1,896.24, 2,842.20 and 741.36

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Solution

The fourth proportional to 1,896.24, 2,842.20 and 741.36 is: 1,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.24 : 2,842.20 = 741.36 : x
  2. Step 2: Convert to fraction form
    1,896.24/2,842.20 = 741.36/x
  3. Step 3: Cross multiply
    1,896.24x = 2,842.20 × 741.36
  4. Step 4: Simplify right side
    1,896.24x = 2,107,093.39
  5. Step 5: Solve for x
    x = 2,107,093.39/1,896.24
  6. Step 6: Final answer
    x = 1,111.20

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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.