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Finding the Fourth Proportional to 2,520.34, 3,774.03 and 2,131.54

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Solution

The fourth proportional to 2,520.34, 3,774.03 and 2,131.54 is: 3,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.34 : 3,774.03 = 2,131.54 : x
  2. Step 2: Convert to fraction form
    2,520.34/3,774.03 = 2,131.54/x
  3. Step 3: Cross multiply
    2,520.34x = 3,774.03 × 2,131.54
  4. Step 4: Simplify right side
    2,520.34x = 8,044,495.91
  5. Step 5: Solve for x
    x = 8,044,495.91/2,520.34
  6. Step 6: Final answer
    x = 3,191.83

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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.