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Finding the Fourth Proportional to 1,692.76, 2,336.28 and 1,029.82

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Solution

The fourth proportional to 1,692.76, 2,336.28 and 1,029.82 is: 1,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.76 : 2,336.28 = 1,029.82 : x
  2. Step 2: Convert to fraction form
    1,692.76/2,336.28 = 1,029.82/x
  3. Step 3: Cross multiply
    1,692.76x = 2,336.28 × 1,029.82
  4. Step 4: Simplify right side
    1,692.76x = 2,405,947.87
  5. Step 5: Solve for x
    x = 2,405,947.87/1,692.76
  6. Step 6: Final answer
    x = 1,421.32

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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.