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Finding the Fourth Proportional to 1,596.08, 2,394.92 and 1,082

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Solution

The fourth proportional to 1,596.08, 2,394.92 and 1,082 is: 1,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.08 : 2,394.92 = 1,082 : x
  2. Step 2: Convert to fraction form
    1,596.08/2,394.92 = 1,082/x
  3. Step 3: Cross multiply
    1,596.08x = 2,394.92 × 1,082
  4. Step 4: Simplify right side
    1,596.08x = 2,591,303.44
  5. Step 5: Solve for x
    x = 2,591,303.44/1,596.08
  6. Step 6: Final answer
    x = 1,623.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.