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Finding the Fourth Proportional to 1,692.98, 2,336.37 and 946.97

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Solution

The fourth proportional to 1,692.98, 2,336.37 and 946.97 is: 1,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.98 : 2,336.37 = 946.97 : x
  2. Step 2: Convert to fraction form
    1,692.98/2,336.37 = 946.97/x
  3. Step 3: Cross multiply
    1,692.98x = 2,336.37 × 946.97
  4. Step 4: Simplify right side
    1,692.98x = 2,212,472.30
  5. Step 5: Solve for x
    x = 2,212,472.30/1,692.98
  6. Step 6: Final answer
    x = 1,306.85

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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.