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Finding the Fourth Proportional to 1,692.80, 2,336.75 and 1,455.80

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Solution

The fourth proportional to 1,692.80, 2,336.75 and 1,455.80 is: 2,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.80 : 2,336.75 = 1,455.80 : x
  2. Step 2: Convert to fraction form
    1,692.80/2,336.75 = 1,455.80/x
  3. Step 3: Cross multiply
    1,692.80x = 2,336.75 × 1,455.80
  4. Step 4: Simplify right side
    1,692.80x = 3,401,821.69
  5. Step 5: Solve for x
    x = 3,401,821.69/1,692.80
  6. Step 6: Final answer
    x = 2,009.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.