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Finding the Fourth Proportional to 1,596.22, 2,202.42 and 923.92

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Solution

The fourth proportional to 1,596.22, 2,202.42 and 923.92 is: 1,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.22 : 2,202.42 = 923.92 : x
  2. Step 2: Convert to fraction form
    1,596.22/2,202.42 = 923.92/x
  3. Step 3: Cross multiply
    1,596.22x = 2,202.42 × 923.92
  4. Step 4: Simplify right side
    1,596.22x = 2,034,859.89
  5. Step 5: Solve for x
    x = 2,034,859.89/1,596.22
  6. Step 6: Final answer
    x = 1,274.80

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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.