Home / 1,858.24-2,786.91-541.63

Finding the Fourth Proportional to 1,858.24, 2,786.91 and 541.63

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Solution

The fourth proportional to 1,858.24, 2,786.91 and 541.63 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.24 : 2,786.91 = 541.63 : x
  2. Step 2: Convert to fraction form
    1,858.24/2,786.91 = 541.63/x
  3. Step 3: Cross multiply
    1,858.24x = 2,786.91 × 541.63
  4. Step 4: Simplify right side
    1,858.24x = 1,509,475.52
  5. Step 5: Solve for x
    x = 1,509,475.52/1,858.24
  6. Step 6: Final answer
    x = 812.32

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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.