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Finding the Fourth Proportional to 2,816.12, 4,223.10 and 966.89

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Solution

The fourth proportional to 2,816.12, 4,223.10 and 966.89 is: 1,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.12 : 4,223.10 = 966.89 : x
  2. Step 2: Convert to fraction form
    2,816.12/4,223.10 = 966.89/x
  3. Step 3: Cross multiply
    2,816.12x = 4,223.10 × 966.89
  4. Step 4: Simplify right side
    2,816.12x = 4,083,287.34
  5. Step 5: Solve for x
    x = 4,083,287.34/2,816.12
  6. Step 6: Final answer
    x = 1,449.97

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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.