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Finding the Fourth Proportional to 3,166.12, 4,749.96 and 1,218.46

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Solution

The fourth proportional to 3,166.12, 4,749.96 and 1,218.46 is: 1,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.12 : 4,749.96 = 1,218.46 : x
  2. Step 2: Convert to fraction form
    3,166.12/4,749.96 = 1,218.46/x
  3. Step 3: Cross multiply
    3,166.12x = 4,749.96 × 1,218.46
  4. Step 4: Simplify right side
    3,166.12x = 5,787,636.26
  5. Step 5: Solve for x
    x = 5,787,636.26/3,166.12
  6. Step 6: Final answer
    x = 1,827.99

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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.