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Finding the Fourth Proportional to 2,789.09, 4,182.93 and 1,146.09

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Solution

The fourth proportional to 2,789.09, 4,182.93 and 1,146.09 is: 1,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.09 : 4,182.93 = 1,146.09 : x
  2. Step 2: Convert to fraction form
    2,789.09/4,182.93 = 1,146.09/x
  3. Step 3: Cross multiply
    2,789.09x = 4,182.93 × 1,146.09
  4. Step 4: Simplify right side
    2,789.09x = 4,794,014.24
  5. Step 5: Solve for x
    x = 4,794,014.24/2,789.09
  6. Step 6: Final answer
    x = 1,718.85

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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.