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Finding the Fourth Proportional to 2,504.56, 3,456.48 and 1,385.68

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Solution

The fourth proportional to 2,504.56, 3,456.48 and 1,385.68 is: 1,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.56 : 3,456.48 = 1,385.68 : x
  2. Step 2: Convert to fraction form
    2,504.56/3,456.48 = 1,385.68/x
  3. Step 3: Cross multiply
    2,504.56x = 3,456.48 × 1,385.68
  4. Step 4: Simplify right side
    2,504.56x = 4,789,575.21
  5. Step 5: Solve for x
    x = 4,789,575.21/2,504.56
  6. Step 6: Final answer
    x = 1,912.34

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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.