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Finding the Fourth Proportional to 1,609.24, 2,416.56 and 996.52

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Solution

The fourth proportional to 1,609.24, 2,416.56 and 996.52 is: 1,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.24 : 2,416.56 = 996.52 : x
  2. Step 2: Convert to fraction form
    1,609.24/2,416.56 = 996.52/x
  3. Step 3: Cross multiply
    1,609.24x = 2,416.56 × 996.52
  4. Step 4: Simplify right side
    1,609.24x = 2,408,150.37
  5. Step 5: Solve for x
    x = 2,408,150.37/1,609.24
  6. Step 6: Final answer
    x = 1,496.45

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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.