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Finding the Fourth Proportional to 2,575.99, 3,554.83 and 1,456.94

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Solution

The fourth proportional to 2,575.99, 3,554.83 and 1,456.94 is: 2,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.99 : 3,554.83 = 1,456.94 : x
  2. Step 2: Convert to fraction form
    2,575.99/3,554.83 = 1,456.94/x
  3. Step 3: Cross multiply
    2,575.99x = 3,554.83 × 1,456.94
  4. Step 4: Simplify right side
    2,575.99x = 5,179,174.02
  5. Step 5: Solve for x
    x = 5,179,174.02/2,575.99
  6. Step 6: Final answer
    x = 2,010.56

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