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Finding the Fourth Proportional to 1,692.73, 2,335.93 and 984.70

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Solution

The fourth proportional to 1,692.73, 2,335.93 and 984.70 is: 1,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.73 : 2,335.93 = 984.70 : x
  2. Step 2: Convert to fraction form
    1,692.73/2,335.93 = 984.70/x
  3. Step 3: Cross multiply
    1,692.73x = 2,335.93 × 984.70
  4. Step 4: Simplify right side
    1,692.73x = 2,300,190.27
  5. Step 5: Solve for x
    x = 2,300,190.27/1,692.73
  6. Step 6: Final answer
    x = 1,358.86

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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.