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Finding the Fourth Proportional to 3,186.81, 4,397.08 and 1,789.47

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Solution

The fourth proportional to 3,186.81, 4,397.08 and 1,789.47 is: 2,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.81 : 4,397.08 = 1,789.47 : x
  2. Step 2: Convert to fraction form
    3,186.81/4,397.08 = 1,789.47/x
  3. Step 3: Cross multiply
    3,186.81x = 4,397.08 × 1,789.47
  4. Step 4: Simplify right side
    3,186.81x = 7,868,442.75
  5. Step 5: Solve for x
    x = 7,868,442.75/3,186.81
  6. Step 6: Final answer
    x = 2,469.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.