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Finding the Fourth Proportional to 3,114.56, 4,673.82 and 1,166.96

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Solution

The fourth proportional to 3,114.56, 4,673.82 and 1,166.96 is: 1,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.56 : 4,673.82 = 1,166.96 : x
  2. Step 2: Convert to fraction form
    3,114.56/4,673.82 = 1,166.96/x
  3. Step 3: Cross multiply
    3,114.56x = 4,673.82 × 1,166.96
  4. Step 4: Simplify right side
    3,114.56x = 5,454,160.99
  5. Step 5: Solve for x
    x = 5,454,160.99/3,114.56
  6. Step 6: Final answer
    x = 1,751.18

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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.