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Finding the Fourth Proportional to 2,789.68, 4,184.01 and 940.63

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Solution

The fourth proportional to 2,789.68, 4,184.01 and 940.63 is: 1,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.68 : 4,184.01 = 940.63 : x
  2. Step 2: Convert to fraction form
    2,789.68/4,184.01 = 940.63/x
  3. Step 3: Cross multiply
    2,789.68x = 4,184.01 × 940.63
  4. Step 4: Simplify right side
    2,789.68x = 3,935,605.33
  5. Step 5: Solve for x
    x = 3,935,605.33/2,789.68
  6. Step 6: Final answer
    x = 1,410.77

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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.