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Finding the Fourth Proportional to 2,137.04, 3,205.72 and 598

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Solution

The fourth proportional to 2,137.04, 3,205.72 and 598 is: 897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.04 : 3,205.72 = 598 : x
  2. Step 2: Convert to fraction form
    2,137.04/3,205.72 = 598/x
  3. Step 3: Cross multiply
    2,137.04x = 3,205.72 × 598
  4. Step 4: Simplify right side
    2,137.04x = 1,917,020.56
  5. Step 5: Solve for x
    x = 1,917,020.56/2,137.04
  6. Step 6: Final answer
    x = 897.04

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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.