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Finding the Fourth Proportional to 1,795.03, 2,692.06 and 820.91

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Solution

The fourth proportional to 1,795.03, 2,692.06 and 820.91 is: 1,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.03 : 2,692.06 = 820.91 : x
  2. Step 2: Convert to fraction form
    1,795.03/2,692.06 = 820.91/x
  3. Step 3: Cross multiply
    1,795.03x = 2,692.06 × 820.91
  4. Step 4: Simplify right side
    1,795.03x = 2,209,938.97
  5. Step 5: Solve for x
    x = 2,209,938.97/1,795.03
  6. Step 6: Final answer
    x = 1,231.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.