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Finding the Fourth Proportional to 2,007.27, 3,007.80 and 1,348.47

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Solution

The fourth proportional to 2,007.27, 3,007.80 and 1,348.47 is: 2,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.27 : 3,007.80 = 1,348.47 : x
  2. Step 2: Convert to fraction form
    2,007.27/3,007.80 = 1,348.47/x
  3. Step 3: Cross multiply
    2,007.27x = 3,007.80 × 1,348.47
  4. Step 4: Simplify right side
    2,007.27x = 4,055,928.07
  5. Step 5: Solve for x
    x = 4,055,928.07/2,007.27
  6. Step 6: Final answer
    x = 2,020.62

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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.