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Finding the Fourth Proportional to 2,675.40, 3,692.28 and 1,496.56

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Solution

The fourth proportional to 2,675.40, 3,692.28 and 1,496.56 is: 2,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.40 : 3,692.28 = 1,496.56 : x
  2. Step 2: Convert to fraction form
    2,675.40/3,692.28 = 1,496.56/x
  3. Step 3: Cross multiply
    2,675.40x = 3,692.28 × 1,496.56
  4. Step 4: Simplify right side
    2,675.40x = 5,525,718.56
  5. Step 5: Solve for x
    x = 5,525,718.56/2,675.40
  6. Step 6: Final answer
    x = 2,065.38

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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.