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Finding the Fourth Proportional to 2,527.05, 3,790.45 and 966.94

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Solution

The fourth proportional to 2,527.05, 3,790.45 and 966.94 is: 1,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.05 : 3,790.45 = 966.94 : x
  2. Step 2: Convert to fraction form
    2,527.05/3,790.45 = 966.94/x
  3. Step 3: Cross multiply
    2,527.05x = 3,790.45 × 966.94
  4. Step 4: Simplify right side
    2,527.05x = 3,665,130.14
  5. Step 5: Solve for x
    x = 3,665,130.14/2,527.05
  6. Step 6: Final answer
    x = 1,450.36

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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.