Home / 2,137.25-3,206.00-598.37

Finding the Fourth Proportional to 2,137.25, 3,206.00 and 598.37

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Solution

The fourth proportional to 2,137.25, 3,206.00 and 598.37 is: 897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.25 : 3,206.00 = 598.37 : x
  2. Step 2: Convert to fraction form
    2,137.25/3,206.00 = 598.37/x
  3. Step 3: Cross multiply
    2,137.25x = 3,206.00 × 598.37
  4. Step 4: Simplify right side
    2,137.25x = 1,918,371.23
  5. Step 5: Solve for x
    x = 1,918,371.23/2,137.25
  6. Step 6: Final answer
    x = 897.59

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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.