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Finding the Fourth Proportional to 1,692.63, 2,335.91 and 984.45

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Solution

The fourth proportional to 1,692.63, 2,335.91 and 984.45 is: 1,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.63 : 2,335.91 = 984.45 : x
  2. Step 2: Convert to fraction form
    1,692.63/2,335.91 = 984.45/x
  3. Step 3: Cross multiply
    1,692.63x = 2,335.91 × 984.45
  4. Step 4: Simplify right side
    1,692.63x = 2,299,590.44
  5. Step 5: Solve for x
    x = 2,299,590.44/1,692.63
  6. Step 6: Final answer
    x = 1,358.59

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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.