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Finding the Fourth Proportional to 2,692.98, 3,716.49 and 1,684.53

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Solution

The fourth proportional to 2,692.98, 3,716.49 and 1,684.53 is: 2,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.98 : 3,716.49 = 1,684.53 : x
  2. Step 2: Convert to fraction form
    2,692.98/3,716.49 = 1,684.53/x
  3. Step 3: Cross multiply
    2,692.98x = 3,716.49 × 1,684.53
  4. Step 4: Simplify right side
    2,692.98x = 6,260,538.90
  5. Step 5: Solve for x
    x = 6,260,538.90/2,692.98
  6. Step 6: Final answer
    x = 2,324.76

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1.5x scale

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.