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Finding the Fourth Proportional to 2,257.94, 3,362.24 and 2,174.90

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Solution

The fourth proportional to 2,257.94, 3,362.24 and 2,174.90 is: 3,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.94 : 3,362.24 = 2,174.90 : x
  2. Step 2: Convert to fraction form
    2,257.94/3,362.24 = 2,174.90/x
  3. Step 3: Cross multiply
    2,257.94x = 3,362.24 × 2,174.90
  4. Step 4: Simplify right side
    2,257.94x = 7,312,535.78
  5. Step 5: Solve for x
    x = 7,312,535.78/2,257.94
  6. Step 6: Final answer
    x = 3,238.59

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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.