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Finding the Fourth Proportional to 1,596.52, 2,391.42 and 1,016.44

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Solution

The fourth proportional to 1,596.52, 2,391.42 and 1,016.44 is: 1,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.52 : 2,391.42 = 1,016.44 : x
  2. Step 2: Convert to fraction form
    1,596.52/2,391.42 = 1,016.44/x
  3. Step 3: Cross multiply
    1,596.52x = 2,391.42 × 1,016.44
  4. Step 4: Simplify right side
    1,596.52x = 2,430,734.94
  5. Step 5: Solve for x
    x = 2,430,734.94/1,596.52
  6. Step 6: Final answer
    x = 1,522.52

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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.