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Finding the Fourth Proportional to 3,206.19, 4,806 and 2,037.06

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Solution

The fourth proportional to 3,206.19, 4,806 and 2,037.06 is: 3,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.19 : 4,806 = 2,037.06 : x
  2. Step 2: Convert to fraction form
    3,206.19/4,806 = 2,037.06/x
  3. Step 3: Cross multiply
    3,206.19x = 4,806 × 2,037.06
  4. Step 4: Simplify right side
    3,206.19x = 9,790,110.36
  5. Step 5: Solve for x
    x = 9,790,110.36/3,206.19
  6. Step 6: Final answer
    x = 3,053.50

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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.