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Finding the Fourth Proportional to 2,283.21, 3,408.59 and 2,202.21

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Solution

The fourth proportional to 2,283.21, 3,408.59 and 2,202.21 is: 3,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.21 : 3,408.59 = 2,202.21 : x
  2. Step 2: Convert to fraction form
    2,283.21/3,408.59 = 2,202.21/x
  3. Step 3: Cross multiply
    2,283.21x = 3,408.59 × 2,202.21
  4. Step 4: Simplify right side
    2,283.21x = 7,506,436.49
  5. Step 5: Solve for x
    x = 7,506,436.49/2,283.21
  6. Step 6: Final answer
    x = 3,287.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.