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Finding the Fourth Proportional to 3,205.40, 4,423.20 and 1,808.40

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Solution

The fourth proportional to 3,205.40, 4,423.20 and 1,808.40 is: 2,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.40 : 4,423.20 = 1,808.40 : x
  2. Step 2: Convert to fraction form
    3,205.40/4,423.20 = 1,808.40/x
  3. Step 3: Cross multiply
    3,205.40x = 4,423.20 × 1,808.40
  4. Step 4: Simplify right side
    3,205.40x = 7,998,914.88
  5. Step 5: Solve for x
    x = 7,998,914.88/3,205.40
  6. Step 6: Final answer
    x = 2,495.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.