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Finding the Fourth Proportional to 3,111.85, 4,668.61 and 1,264.25

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Solution

The fourth proportional to 3,111.85, 4,668.61 and 1,264.25 is: 1,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.85 : 4,668.61 = 1,264.25 : x
  2. Step 2: Convert to fraction form
    3,111.85/4,668.61 = 1,264.25/x
  3. Step 3: Cross multiply
    3,111.85x = 4,668.61 × 1,264.25
  4. Step 4: Simplify right side
    3,111.85x = 5,902,260.53
  5. Step 5: Solve for x
    x = 5,902,260.53/3,111.85
  6. Step 6: Final answer
    x = 1,896.71

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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.