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Finding the Fourth Proportional to 1,596.16, 2,379.92 and 1,567

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Solution

The fourth proportional to 1,596.16, 2,379.92 and 1,567 is: 2,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.16 : 2,379.92 = 1,567 : x
  2. Step 2: Convert to fraction form
    1,596.16/2,379.92 = 1,567/x
  3. Step 3: Cross multiply
    1,596.16x = 2,379.92 × 1,567
  4. Step 4: Simplify right side
    1,596.16x = 3,729,334.64
  5. Step 5: Solve for x
    x = 3,729,334.64/1,596.16
  6. Step 6: Final answer
    x = 2,336.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.