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Finding the Fourth Proportional to 2,575.56, 3,553.43 and 1,456.38

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Solution

The fourth proportional to 2,575.56, 3,553.43 and 1,456.38 is: 2,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.56 : 3,553.43 = 1,456.38 : x
  2. Step 2: Convert to fraction form
    2,575.56/3,553.43 = 1,456.38/x
  3. Step 3: Cross multiply
    2,575.56x = 3,553.43 × 1,456.38
  4. Step 4: Simplify right side
    2,575.56x = 5,175,137.10
  5. Step 5: Solve for x
    x = 5,175,137.10/2,575.56
  6. Step 6: Final answer
    x = 2,009.33

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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.