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Finding the Fourth Proportional to 1,692.56, 2,334.84 and 993.68

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Solution

The fourth proportional to 1,692.56, 2,334.84 and 993.68 is: 1,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.56 : 2,334.84 = 993.68 : x
  2. Step 2: Convert to fraction form
    1,692.56/2,334.84 = 993.68/x
  3. Step 3: Cross multiply
    1,692.56x = 2,334.84 × 993.68
  4. Step 4: Simplify right side
    1,692.56x = 2,320,083.81
  5. Step 5: Solve for x
    x = 2,320,083.81/1,692.56
  6. Step 6: Final answer
    x = 1,370.75

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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.