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Finding the Fourth Proportional to 1,783.92, 2,692.02 and 1,729.20

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Solution

The fourth proportional to 1,783.92, 2,692.02 and 1,729.20 is: 2,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.92 : 2,692.02 = 1,729.20 : x
  2. Step 2: Convert to fraction form
    1,783.92/2,692.02 = 1,729.20/x
  3. Step 3: Cross multiply
    1,783.92x = 2,692.02 × 1,729.20
  4. Step 4: Simplify right side
    1,783.92x = 4,655,040.98
  5. Step 5: Solve for x
    x = 4,655,040.98/1,783.92
  6. Step 6: Final answer
    x = 2,609.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.