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Finding the Fourth Proportional to 2,675.77, 3,692.10 and 1,496.86

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Solution

The fourth proportional to 2,675.77, 3,692.10 and 1,496.86 is: 2,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.77 : 3,692.10 = 1,496.86 : x
  2. Step 2: Convert to fraction form
    2,675.77/3,692.10 = 1,496.86/x
  3. Step 3: Cross multiply
    2,675.77x = 3,692.10 × 1,496.86
  4. Step 4: Simplify right side
    2,675.77x = 5,526,556.81
  5. Step 5: Solve for x
    x = 5,526,556.81/2,675.77
  6. Step 6: Final answer
    x = 2,065.41

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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.