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Finding the Fourth Proportional to 3,208.79, 4,804.97 and 1,820.04

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Solution

The fourth proportional to 3,208.79, 4,804.97 and 1,820.04 is: 2,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.79 : 4,804.97 = 1,820.04 : x
  2. Step 2: Convert to fraction form
    3,208.79/4,804.97 = 1,820.04/x
  3. Step 3: Cross multiply
    3,208.79x = 4,804.97 × 1,820.04
  4. Step 4: Simplify right side
    3,208.79x = 8,745,228.50
  5. Step 5: Solve for x
    x = 8,745,228.50/3,208.79
  6. Step 6: Final answer
    x = 2,725.40

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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.