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Finding the Fourth Proportional to 2,333.94, 3,496.22 and 1,160.39

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Solution

The fourth proportional to 2,333.94, 3,496.22 and 1,160.39 is: 1,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.94 : 3,496.22 = 1,160.39 : x
  2. Step 2: Convert to fraction form
    2,333.94/3,496.22 = 1,160.39/x
  3. Step 3: Cross multiply
    2,333.94x = 3,496.22 × 1,160.39
  4. Step 4: Simplify right side
    2,333.94x = 4,056,989.28
  5. Step 5: Solve for x
    x = 4,056,989.28/2,333.94
  6. Step 6: Final answer
    x = 1,738.26

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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.