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Finding the Fourth Proportional to 3,209.70, 4,428.70 and 1,882.46

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Solution

The fourth proportional to 3,209.70, 4,428.70 and 1,882.46 is: 2,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.70 : 4,428.70 = 1,882.46 : x
  2. Step 2: Convert to fraction form
    3,209.70/4,428.70 = 1,882.46/x
  3. Step 3: Cross multiply
    3,209.70x = 4,428.70 × 1,882.46
  4. Step 4: Simplify right side
    3,209.70x = 8,336,850.60
  5. Step 5: Solve for x
    x = 8,336,850.60/3,209.70
  6. Step 6: Final answer
    x = 2,597.39

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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.