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Finding the Fourth Proportional to 3,192.09, 4,779.21 and 1,628.70

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Solution

The fourth proportional to 3,192.09, 4,779.21 and 1,628.70 is: 2,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.09 : 4,779.21 = 1,628.70 : x
  2. Step 2: Convert to fraction form
    3,192.09/4,779.21 = 1,628.70/x
  3. Step 3: Cross multiply
    3,192.09x = 4,779.21 × 1,628.70
  4. Step 4: Simplify right side
    3,192.09x = 7,783,899.33
  5. Step 5: Solve for x
    x = 7,783,899.33/3,192.09
  6. Step 6: Final answer
    x = 2,438.50

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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.