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Finding the Fourth Proportional to 2,789.67, 4,186.22 and 1,146.23

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Solution

The fourth proportional to 2,789.67, 4,186.22 and 1,146.23 is: 1,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.67 : 4,186.22 = 1,146.23 : x
  2. Step 2: Convert to fraction form
    2,789.67/4,186.22 = 1,146.23/x
  3. Step 3: Cross multiply
    2,789.67x = 4,186.22 × 1,146.23
  4. Step 4: Simplify right side
    2,789.67x = 4,798,370.95
  5. Step 5: Solve for x
    x = 4,798,370.95/2,789.67
  6. Step 6: Final answer
    x = 1,720.05

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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.