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Finding the Fourth Proportional to 2,789.40, 4,184.54 and 940.38

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Solution

The fourth proportional to 2,789.40, 4,184.54 and 940.38 is: 1,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.40 : 4,184.54 = 940.38 : x
  2. Step 2: Convert to fraction form
    2,789.40/4,184.54 = 940.38/x
  3. Step 3: Cross multiply
    2,789.40x = 4,184.54 × 940.38
  4. Step 4: Simplify right side
    2,789.40x = 3,935,057.73
  5. Step 5: Solve for x
    x = 3,935,057.73/2,789.40
  6. Step 6: Final answer
    x = 1,410.72

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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.