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Finding the Fourth Proportional to 1,796.10, 2,692.34 and 756.35

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Solution

The fourth proportional to 1,796.10, 2,692.34 and 756.35 is: 1,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.10 : 2,692.34 = 756.35 : x
  2. Step 2: Convert to fraction form
    1,796.10/2,692.34 = 756.35/x
  3. Step 3: Cross multiply
    1,796.10x = 2,692.34 × 756.35
  4. Step 4: Simplify right side
    1,796.10x = 2,036,351.36
  5. Step 5: Solve for x
    x = 2,036,351.36/1,796.10
  6. Step 6: Final answer
    x = 1,133.77

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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.