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Finding the Fourth Proportional to 2,137.75, 3,206.81 and 598.75

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Solution

The fourth proportional to 2,137.75, 3,206.81 and 598.75 is: 898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.75 : 3,206.81 = 598.75 : x
  2. Step 2: Convert to fraction form
    2,137.75/3,206.81 = 598.75/x
  3. Step 3: Cross multiply
    2,137.75x = 3,206.81 × 598.75
  4. Step 4: Simplify right side
    2,137.75x = 1,920,074.49
  5. Step 5: Solve for x
    x = 1,920,074.49/2,137.75
  6. Step 6: Final answer
    x = 898.18

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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.