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Finding the Fourth Proportional to 3,166.29, 4,749.33 and 976.56

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Solution

The fourth proportional to 3,166.29, 4,749.33 and 976.56 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.29 : 4,749.33 = 976.56 : x
  2. Step 2: Convert to fraction form
    3,166.29/4,749.33 = 976.56/x
  3. Step 3: Cross multiply
    3,166.29x = 4,749.33 × 976.56
  4. Step 4: Simplify right side
    3,166.29x = 4,637,991.56
  5. Step 5: Solve for x
    x = 4,637,991.56/3,166.29
  6. Step 6: Final answer
    x = 1,464.80

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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.