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Finding the Fourth Proportional to 2,692.75, 4,033.86 and 1,765.48

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Solution

The fourth proportional to 2,692.75, 4,033.86 and 1,765.48 is: 2,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.75 : 4,033.86 = 1,765.48 : x
  2. Step 2: Convert to fraction form
    2,692.75/4,033.86 = 1,765.48/x
  3. Step 3: Cross multiply
    2,692.75x = 4,033.86 × 1,765.48
  4. Step 4: Simplify right side
    2,692.75x = 7,121,699.15
  5. Step 5: Solve for x
    x = 7,121,699.15/2,692.75
  6. Step 6: Final answer
    x = 2,644.77

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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.