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Finding the Fourth Proportional to 1,729.36, 2,384.63 and 1,168.86

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Solution

The fourth proportional to 1,729.36, 2,384.63 and 1,168.86 is: 1,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.36 : 2,384.63 = 1,168.86 : x
  2. Step 2: Convert to fraction form
    1,729.36/2,384.63 = 1,168.86/x
  3. Step 3: Cross multiply
    1,729.36x = 2,384.63 × 1,168.86
  4. Step 4: Simplify right side
    1,729.36x = 2,787,298.62
  5. Step 5: Solve for x
    x = 2,787,298.62/1,729.36
  6. Step 6: Final answer
    x = 1,611.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.