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Finding the Fourth Proportional to 2,137.36, 3,206 and 598.36

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Solution

The fourth proportional to 2,137.36, 3,206 and 598.36 is: 897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.36 : 3,206 = 598.36 : x
  2. Step 2: Convert to fraction form
    2,137.36/3,206 = 598.36/x
  3. Step 3: Cross multiply
    2,137.36x = 3,206 × 598.36
  4. Step 4: Simplify right side
    2,137.36x = 1,918,342.16
  5. Step 5: Solve for x
    x = 1,918,342.16/2,137.36
  6. Step 6: Final answer
    x = 897.53

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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.