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Finding the Fourth Proportional to 1,232.67, 1,850.27 and 961.72

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Solution

The fourth proportional to 1,232.67, 1,850.27 and 961.72 is: 1,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.67 : 1,850.27 = 961.72 : x
  2. Step 2: Convert to fraction form
    1,232.67/1,850.27 = 961.72/x
  3. Step 3: Cross multiply
    1,232.67x = 1,850.27 × 961.72
  4. Step 4: Simplify right side
    1,232.67x = 1,779,441.66
  5. Step 5: Solve for x
    x = 1,779,441.66/1,232.67
  6. Step 6: Final answer
    x = 1,443.57

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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.