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Finding the Fourth Proportional to 3,166.68, 4,747.38 and 1,218.36

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Solution

The fourth proportional to 3,166.68, 4,747.38 and 1,218.36 is: 1,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.68 : 4,747.38 = 1,218.36 : x
  2. Step 2: Convert to fraction form
    3,166.68/4,747.38 = 1,218.36/x
  3. Step 3: Cross multiply
    3,166.68x = 4,747.38 × 1,218.36
  4. Step 4: Simplify right side
    3,166.68x = 5,784,017.90
  5. Step 5: Solve for x
    x = 5,784,017.90/3,166.68
  6. Step 6: Final answer
    x = 1,826.52

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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.