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Finding the Fourth Proportional to 2,076.33, 3,114.58 and 966.78

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Solution

The fourth proportional to 2,076.33, 3,114.58 and 966.78 is: 1,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.33 : 3,114.58 = 966.78 : x
  2. Step 2: Convert to fraction form
    2,076.33/3,114.58 = 966.78/x
  3. Step 3: Cross multiply
    2,076.33x = 3,114.58 × 966.78
  4. Step 4: Simplify right side
    2,076.33x = 3,011,113.65
  5. Step 5: Solve for x
    x = 3,011,113.65/2,076.33
  6. Step 6: Final answer
    x = 1,450.21

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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.