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Finding the Fourth Proportional to 2,431.72, 3,355.79 and 1,383.79

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Solution

The fourth proportional to 2,431.72, 3,355.79 and 1,383.79 is: 1,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.72 : 3,355.79 = 1,383.79 : x
  2. Step 2: Convert to fraction form
    2,431.72/3,355.79 = 1,383.79/x
  3. Step 3: Cross multiply
    2,431.72x = 3,355.79 × 1,383.79
  4. Step 4: Simplify right side
    2,431.72x = 4,643,691.87
  5. Step 5: Solve for x
    x = 4,643,691.87/2,431.72
  6. Step 6: Final answer
    x = 1,909.63

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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.