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Finding the Fourth Proportional to 1,692.94, 2,336.30 and 1,196.46

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Solution

The fourth proportional to 1,692.94, 2,336.30 and 1,196.46 is: 1,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.94 : 2,336.30 = 1,196.46 : x
  2. Step 2: Convert to fraction form
    1,692.94/2,336.30 = 1,196.46/x
  3. Step 3: Cross multiply
    1,692.94x = 2,336.30 × 1,196.46
  4. Step 4: Simplify right side
    1,692.94x = 2,795,271.83
  5. Step 5: Solve for x
    x = 2,795,271.83/1,692.94
  6. Step 6: Final answer
    x = 1,651.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.