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Finding the Fourth Proportional to 3,369.80, 5,052.43 and 1,178.25

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Solution

The fourth proportional to 3,369.80, 5,052.43 and 1,178.25 is: 1,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.80 : 5,052.43 = 1,178.25 : x
  2. Step 2: Convert to fraction form
    3,369.80/5,052.43 = 1,178.25/x
  3. Step 3: Cross multiply
    3,369.80x = 5,052.43 × 1,178.25
  4. Step 4: Simplify right side
    3,369.80x = 5,953,001.55
  5. Step 5: Solve for x
    x = 5,953,001.55/3,369.80
  6. Step 6: Final answer
    x = 1,766.57

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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.