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Finding the Fourth Proportional to 2,007.75, 3,013.25 and 1,034.13

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Solution

The fourth proportional to 2,007.75, 3,013.25 and 1,034.13 is: 1,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.75 : 3,013.25 = 1,034.13 : x
  2. Step 2: Convert to fraction form
    2,007.75/3,013.25 = 1,034.13/x
  3. Step 3: Cross multiply
    2,007.75x = 3,013.25 × 1,034.13
  4. Step 4: Simplify right side
    2,007.75x = 3,116,087.05
  5. Step 5: Solve for x
    x = 3,116,087.05/2,007.75
  6. Step 6: Final answer
    x = 1,552.03

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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.