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Finding the Fourth Proportional to 3,369.66, 5,054.52 and 1,178.44

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Solution

The fourth proportional to 3,369.66, 5,054.52 and 1,178.44 is: 1,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.66 : 5,054.52 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    3,369.66/5,054.52 = 1,178.44/x
  3. Step 3: Cross multiply
    3,369.66x = 5,054.52 × 1,178.44
  4. Step 4: Simplify right side
    3,369.66x = 5,956,448.55
  5. Step 5: Solve for x
    x = 5,956,448.55/3,369.66
  6. Step 6: Final answer
    x = 1,767.67

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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.