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Finding the Fourth Proportional to 1,864.56, 2,794.94 and 1,171.71

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Solution

The fourth proportional to 1,864.56, 2,794.94 and 1,171.71 is: 1,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.56 : 2,794.94 = 1,171.71 : x
  2. Step 2: Convert to fraction form
    1,864.56/2,794.94 = 1,171.71/x
  3. Step 3: Cross multiply
    1,864.56x = 2,794.94 × 1,171.71
  4. Step 4: Simplify right side
    1,864.56x = 3,274,853.29
  5. Step 5: Solve for x
    x = 3,274,853.29/1,864.56
  6. Step 6: Final answer
    x = 1,756.37

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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.