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Finding the Fourth Proportional to 3,166.18, 4,749.82 and 974.68

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Solution

The fourth proportional to 3,166.18, 4,749.82 and 974.68 is: 1,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.18 : 4,749.82 = 974.68 : x
  2. Step 2: Convert to fraction form
    3,166.18/4,749.82 = 974.68/x
  3. Step 3: Cross multiply
    3,166.18x = 4,749.82 × 974.68
  4. Step 4: Simplify right side
    3,166.18x = 4,629,554.56
  5. Step 5: Solve for x
    x = 4,629,554.56/3,166.18
  6. Step 6: Final answer
    x = 1,462.19

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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.