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Finding the Fourth Proportional to 3,164.94, 4,744.71 and 1,218.51

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Solution

The fourth proportional to 3,164.94, 4,744.71 and 1,218.51 is: 1,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.94 : 4,744.71 = 1,218.51 : x
  2. Step 2: Convert to fraction form
    3,164.94/4,744.71 = 1,218.51/x
  3. Step 3: Cross multiply
    3,164.94x = 4,744.71 × 1,218.51
  4. Step 4: Simplify right side
    3,164.94x = 5,781,476.58
  5. Step 5: Solve for x
    x = 5,781,476.58/3,164.94
  6. Step 6: Final answer
    x = 1,826.73

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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.