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Finding the Fourth Proportional to 2,966.66, 4,450.71 and 1,234.34

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Solution

The fourth proportional to 2,966.66, 4,450.71 and 1,234.34 is: 1,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.66 : 4,450.71 = 1,234.34 : x
  2. Step 2: Convert to fraction form
    2,966.66/4,450.71 = 1,234.34/x
  3. Step 3: Cross multiply
    2,966.66x = 4,450.71 × 1,234.34
  4. Step 4: Simplify right side
    2,966.66x = 5,493,689.38
  5. Step 5: Solve for x
    x = 5,493,689.38/2,966.66
  6. Step 6: Final answer
    x = 1,851.81

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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.