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Finding the Fourth Proportional to 4,383.62, 6,578.30 and 1,610.31

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Solution

The fourth proportional to 4,383.62, 6,578.30 and 1,610.31 is: 2,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.62 : 6,578.30 = 1,610.31 : x
  2. Step 2: Convert to fraction form
    4,383.62/6,578.30 = 1,610.31/x
  3. Step 3: Cross multiply
    4,383.62x = 6,578.30 × 1,610.31
  4. Step 4: Simplify right side
    4,383.62x = 10,593,094.22
  5. Step 5: Solve for x
    x = 10,593,094.22/4,383.62
  6. Step 6: Final answer
    x = 2,416.52

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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.