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Finding the Fourth Proportional to 2,504.41, 3,757.43 and 860.92

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Solution

The fourth proportional to 2,504.41, 3,757.43 and 860.92 is: 1,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.41 : 3,757.43 = 860.92 : x
  2. Step 2: Convert to fraction form
    2,504.41/3,757.43 = 860.92/x
  3. Step 3: Cross multiply
    2,504.41x = 3,757.43 × 860.92
  4. Step 4: Simplify right side
    2,504.41x = 3,234,846.64
  5. Step 5: Solve for x
    x = 3,234,846.64/2,504.41
  6. Step 6: Final answer
    x = 1,291.66

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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.