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Finding the Fourth Proportional to 2,007.81, 3,011.49 and 1,275.15

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Solution

The fourth proportional to 2,007.81, 3,011.49 and 1,275.15 is: 1,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.81 : 3,011.49 = 1,275.15 : x
  2. Step 2: Convert to fraction form
    2,007.81/3,011.49 = 1,275.15/x
  3. Step 3: Cross multiply
    2,007.81x = 3,011.49 × 1,275.15
  4. Step 4: Simplify right side
    2,007.81x = 3,840,101.47
  5. Step 5: Solve for x
    x = 3,840,101.47/2,007.81
  6. Step 6: Final answer
    x = 1,912.58

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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.