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Finding the Fourth Proportional to 2,328.41, 3,213.42 and 1,333.78

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Solution

The fourth proportional to 2,328.41, 3,213.42 and 1,333.78 is: 1,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.41 : 3,213.42 = 1,333.78 : x
  2. Step 2: Convert to fraction form
    2,328.41/3,213.42 = 1,333.78/x
  3. Step 3: Cross multiply
    2,328.41x = 3,213.42 × 1,333.78
  4. Step 4: Simplify right side
    2,328.41x = 4,285,979.26
  5. Step 5: Solve for x
    x = 4,285,979.26/2,328.41
  6. Step 6: Final answer
    x = 1,840.73

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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.