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Finding the Fourth Proportional to 2,007.81, 3,012.26 and 1,033.38

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Solution

The fourth proportional to 2,007.81, 3,012.26 and 1,033.38 is: 1,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.81 : 3,012.26 = 1,033.38 : x
  2. Step 2: Convert to fraction form
    2,007.81/3,012.26 = 1,033.38/x
  3. Step 3: Cross multiply
    2,007.81x = 3,012.26 × 1,033.38
  4. Step 4: Simplify right side
    2,007.81x = 3,112,804.07
  5. Step 5: Solve for x
    x = 3,112,804.07/2,007.81
  6. Step 6: Final answer
    x = 1,550.35

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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.