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Finding the Fourth Proportional to 2,327.78, 3,214.42 and 1,737.29

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Solution

The fourth proportional to 2,327.78, 3,214.42 and 1,737.29 is: 2,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.78 : 3,214.42 = 1,737.29 : x
  2. Step 2: Convert to fraction form
    2,327.78/3,214.42 = 1,737.29/x
  3. Step 3: Cross multiply
    2,327.78x = 3,214.42 × 1,737.29
  4. Step 4: Simplify right side
    2,327.78x = 5,584,383.41
  5. Step 5: Solve for x
    x = 5,584,383.41/2,327.78
  6. Step 6: Final answer
    x = 2,399.01

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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.