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Finding the Fourth Proportional to 3,305.70, 4,563.09 and 2,248.92

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Solution

The fourth proportional to 3,305.70, 4,563.09 and 2,248.92 is: 3,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.70 : 4,563.09 = 2,248.92 : x
  2. Step 2: Convert to fraction form
    3,305.70/4,563.09 = 2,248.92/x
  3. Step 3: Cross multiply
    3,305.70x = 4,563.09 × 2,248.92
  4. Step 4: Simplify right side
    3,305.70x = 10,262,024.36
  5. Step 5: Solve for x
    x = 10,262,024.36/3,305.70
  6. Step 6: Final answer
    x = 3,104.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.