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Finding the Fourth Proportional to 2,699.25, 4,049.01 and 2,557.23

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Solution

The fourth proportional to 2,699.25, 4,049.01 and 2,557.23 is: 3,835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.25 : 4,049.01 = 2,557.23 : x
  2. Step 2: Convert to fraction form
    2,699.25/4,049.01 = 2,557.23/x
  3. Step 3: Cross multiply
    2,699.25x = 4,049.01 × 2,557.23
  4. Step 4: Simplify right side
    2,699.25x = 10,354,249.84
  5. Step 5: Solve for x
    x = 10,354,249.84/2,699.25
  6. Step 6: Final answer
    x = 3,835.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.