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Finding the Fourth Proportional to 2,305.35, 3,456.90 and 1,073.34

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Solution

The fourth proportional to 2,305.35, 3,456.90 and 1,073.34 is: 1,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.35 : 3,456.90 = 1,073.34 : x
  2. Step 2: Convert to fraction form
    2,305.35/3,456.90 = 1,073.34/x
  3. Step 3: Cross multiply
    2,305.35x = 3,456.90 × 1,073.34
  4. Step 4: Simplify right side
    2,305.35x = 3,710,429.05
  5. Step 5: Solve for x
    x = 3,710,429.05/2,305.35
  6. Step 6: Final answer
    x = 1,609.49

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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.