Home / 1,824.30-2,736.50-713.67

Finding the Fourth Proportional to 1,824.30, 2,736.50 and 713.67

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Solution

The fourth proportional to 1,824.30, 2,736.50 and 713.67 is: 1,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.30 : 2,736.50 = 713.67 : x
  2. Step 2: Convert to fraction form
    1,824.30/2,736.50 = 713.67/x
  3. Step 3: Cross multiply
    1,824.30x = 2,736.50 × 713.67
  4. Step 4: Simplify right side
    1,824.30x = 1,952,953.27
  5. Step 5: Solve for x
    x = 1,952,953.27/1,824.30
  6. Step 6: Final answer
    x = 1,070.52

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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.