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Finding the Fourth Proportional to 1,692.84, 2,336.28 and 1,029.54

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Solution

The fourth proportional to 1,692.84, 2,336.28 and 1,029.54 is: 1,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.84 : 2,336.28 = 1,029.54 : x
  2. Step 2: Convert to fraction form
    1,692.84/2,336.28 = 1,029.54/x
  3. Step 3: Cross multiply
    1,692.84x = 2,336.28 × 1,029.54
  4. Step 4: Simplify right side
    1,692.84x = 2,405,293.71
  5. Step 5: Solve for x
    x = 2,405,293.71/1,692.84
  6. Step 6: Final answer
    x = 1,420.86

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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.