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Finding the Fourth Proportional to 3,057.46, 4,580.80 and 2,131.23

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Solution

The fourth proportional to 3,057.46, 4,580.80 and 2,131.23 is: 3,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.46 : 4,580.80 = 2,131.23 : x
  2. Step 2: Convert to fraction form
    3,057.46/4,580.80 = 2,131.23/x
  3. Step 3: Cross multiply
    3,057.46x = 4,580.80 × 2,131.23
  4. Step 4: Simplify right side
    3,057.46x = 9,762,738.38
  5. Step 5: Solve for x
    x = 9,762,738.38/3,057.46
  6. Step 6: Final answer
    x = 3,193.09

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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.