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Finding the Fourth Proportional to 3,166.70, 4,751.97 and 1,435.34

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Solution

The fourth proportional to 3,166.70, 4,751.97 and 1,435.34 is: 2,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.70 : 4,751.97 = 1,435.34 : x
  2. Step 2: Convert to fraction form
    3,166.70/4,751.97 = 1,435.34/x
  3. Step 3: Cross multiply
    3,166.70x = 4,751.97 × 1,435.34
  4. Step 4: Simplify right side
    3,166.70x = 6,820,692.62
  5. Step 5: Solve for x
    x = 6,820,692.62/3,166.70
  6. Step 6: Final answer
    x = 2,153.88

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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.