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Finding the Fourth Proportional to 1,596.51, 2,394.92 and 814.35

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Solution

The fourth proportional to 1,596.51, 2,394.92 and 814.35 is: 1,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.51 : 2,394.92 = 814.35 : x
  2. Step 2: Convert to fraction form
    1,596.51/2,394.92 = 814.35/x
  3. Step 3: Cross multiply
    1,596.51x = 2,394.92 × 814.35
  4. Step 4: Simplify right side
    1,596.51x = 1,950,309.54
  5. Step 5: Solve for x
    x = 1,950,309.54/1,596.51
  6. Step 6: Final answer
    x = 1,221.61

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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.