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Finding the Fourth Proportional to 2,007.16, 2,769.46 and 1,448.46

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Solution

The fourth proportional to 2,007.16, 2,769.46 and 1,448.46 is: 1,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.16 : 2,769.46 = 1,448.46 : x
  2. Step 2: Convert to fraction form
    2,007.16/2,769.46 = 1,448.46/x
  3. Step 3: Cross multiply
    2,007.16x = 2,769.46 × 1,448.46
  4. Step 4: Simplify right side
    2,007.16x = 4,011,452.03
  5. Step 5: Solve for x
    x = 4,011,452.03/2,007.16
  6. Step 6: Final answer
    x = 1,998.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.