Home / 1,824.21-2,736.36-525.78

Finding the Fourth Proportional to 1,824.21, 2,736.36 and 525.78

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Solution

The fourth proportional to 1,824.21, 2,736.36 and 525.78 is: 788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.21 : 2,736.36 = 525.78 : x
  2. Step 2: Convert to fraction form
    1,824.21/2,736.36 = 525.78/x
  3. Step 3: Cross multiply
    1,824.21x = 2,736.36 × 525.78
  4. Step 4: Simplify right side
    1,824.21x = 1,438,723.36
  5. Step 5: Solve for x
    x = 1,438,723.36/1,824.21
  6. Step 6: Final answer
    x = 788.68

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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.