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Finding the Fourth Proportional to 2,808.70, 4,214.56 and 1,166.38

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Solution

The fourth proportional to 2,808.70, 4,214.56 and 1,166.38 is: 1,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.70 : 4,214.56 = 1,166.38 : x
  2. Step 2: Convert to fraction form
    2,808.70/4,214.56 = 1,166.38/x
  3. Step 3: Cross multiply
    2,808.70x = 4,214.56 × 1,166.38
  4. Step 4: Simplify right side
    2,808.70x = 4,915,757.42
  5. Step 5: Solve for x
    x = 4,915,757.42/2,808.70
  6. Step 6: Final answer
    x = 1,750.19

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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.