Home / 2,134.24-3,200.09-1,037.50

Finding the Fourth Proportional to 2,134.24, 3,200.09 and 1,037.50

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Solution

The fourth proportional to 2,134.24, 3,200.09 and 1,037.50 is: 1,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.24 : 3,200.09 = 1,037.50 : x
  2. Step 2: Convert to fraction form
    2,134.24/3,200.09 = 1,037.50/x
  3. Step 3: Cross multiply
    2,134.24x = 3,200.09 × 1,037.50
  4. Step 4: Simplify right side
    2,134.24x = 3,320,093.38
  5. Step 5: Solve for x
    x = 3,320,093.38/2,134.24
  6. Step 6: Final answer
    x = 1,555.63

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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.