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Finding the Fourth Proportional to 3,782.67, 5,669.20 and 1,700.45

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Solution

The fourth proportional to 3,782.67, 5,669.20 and 1,700.45 is: 2,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.67 : 5,669.20 = 1,700.45 : x
  2. Step 2: Convert to fraction form
    3,782.67/5,669.20 = 1,700.45/x
  3. Step 3: Cross multiply
    3,782.67x = 5,669.20 × 1,700.45
  4. Step 4: Simplify right side
    3,782.67x = 9,640,191.14
  5. Step 5: Solve for x
    x = 9,640,191.14/3,782.67
  6. Step 6: Final answer
    x = 2,548.51

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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.