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Finding the Fourth Proportional to 2,674.49, 3,692.27 and 1,835.69

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Solution

The fourth proportional to 2,674.49, 3,692.27 and 1,835.69 is: 2,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.49 : 3,692.27 = 1,835.69 : x
  2. Step 2: Convert to fraction form
    2,674.49/3,692.27 = 1,835.69/x
  3. Step 3: Cross multiply
    2,674.49x = 3,692.27 × 1,835.69
  4. Step 4: Simplify right side
    2,674.49x = 6,777,849.24
  5. Step 5: Solve for x
    x = 6,777,849.24/2,674.49
  6. Step 6: Final answer
    x = 2,534.26

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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.