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Finding the Fourth Proportional to 1,596.18, 2,394.30 and 441.92

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Solution

The fourth proportional to 1,596.18, 2,394.30 and 441.92 is: 662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.18 : 2,394.30 = 441.92 : x
  2. Step 2: Convert to fraction form
    1,596.18/2,394.30 = 441.92/x
  3. Step 3: Cross multiply
    1,596.18x = 2,394.30 × 441.92
  4. Step 4: Simplify right side
    1,596.18x = 1,058,089.06
  5. Step 5: Solve for x
    x = 1,058,089.06/1,596.18
  6. Step 6: Final answer
    x = 662.89

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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.