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Finding the Fourth Proportional to 2,013.97, 3,019.86 and 626.71

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Solution

The fourth proportional to 2,013.97, 3,019.86 and 626.71 is: 939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.97 : 3,019.86 = 626.71 : x
  2. Step 2: Convert to fraction form
    2,013.97/3,019.86 = 626.71/x
  3. Step 3: Cross multiply
    2,013.97x = 3,019.86 × 626.71
  4. Step 4: Simplify right side
    2,013.97x = 1,892,576.46
  5. Step 5: Solve for x
    x = 1,892,576.46/2,013.97
  6. Step 6: Final answer
    x = 939.72

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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.