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Finding the Fourth Proportional to 2,013.74, 3,020.70 and 552.70

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Solution

The fourth proportional to 2,013.74, 3,020.70 and 552.70 is: 829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.74 : 3,020.70 = 552.70 : x
  2. Step 2: Convert to fraction form
    2,013.74/3,020.70 = 552.70/x
  3. Step 3: Cross multiply
    2,013.74x = 3,020.70 × 552.70
  4. Step 4: Simplify right side
    2,013.74x = 1,669,540.89
  5. Step 5: Solve for x
    x = 1,669,540.89/2,013.74
  6. Step 6: Final answer
    x = 829.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.