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Finding the Fourth Proportional to 2,575.58, 3,846.13 and 2,021.54

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Solution

The fourth proportional to 2,575.58, 3,846.13 and 2,021.54 is: 3,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.58 : 3,846.13 = 2,021.54 : x
  2. Step 2: Convert to fraction form
    2,575.58/3,846.13 = 2,021.54/x
  3. Step 3: Cross multiply
    2,575.58x = 3,846.13 × 2,021.54
  4. Step 4: Simplify right side
    2,575.58x = 7,775,105.64
  5. Step 5: Solve for x
    x = 7,775,105.64/2,575.58
  6. Step 6: Final answer
    x = 3,018.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.