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Finding the Fourth Proportional to 2,013.72, 3,020.72 and 552.72

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Solution

The fourth proportional to 2,013.72, 3,020.72 and 552.72 is: 829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.72 : 3,020.72 = 552.72 : x
  2. Step 2: Convert to fraction form
    2,013.72/3,020.72 = 552.72/x
  3. Step 3: Cross multiply
    2,013.72x = 3,020.72 × 552.72
  4. Step 4: Simplify right side
    2,013.72x = 1,669,612.36
  5. Step 5: Solve for x
    x = 1,669,612.36/2,013.72
  6. Step 6: Final answer
    x = 829.12

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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.