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Finding the Fourth Proportional to 2,013.75, 3,020.71 and 552.70

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Solution

The fourth proportional to 2,013.75, 3,020.71 and 552.70 is: 829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.75 : 3,020.71 = 552.70 : x
  2. Step 2: Convert to fraction form
    2,013.75/3,020.71 = 552.70/x
  3. Step 3: Cross multiply
    2,013.75x = 3,020.71 × 552.70
  4. Step 4: Simplify right side
    2,013.75x = 1,669,546.42
  5. Step 5: Solve for x
    x = 1,669,546.42/2,013.75
  6. Step 6: Final answer
    x = 829.07

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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.