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Finding the Fourth Proportional to 2,007.63, 3,010.16 and 966.27

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Solution

The fourth proportional to 2,007.63, 3,010.16 and 966.27 is: 1,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.63 : 3,010.16 = 966.27 : x
  2. Step 2: Convert to fraction form
    2,007.63/3,010.16 = 966.27/x
  3. Step 3: Cross multiply
    2,007.63x = 3,010.16 × 966.27
  4. Step 4: Simplify right side
    2,007.63x = 2,908,622.47
  5. Step 5: Solve for x
    x = 2,908,622.47/2,007.63
  6. Step 6: Final answer
    x = 1,448.78

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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.