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Finding the Fourth Proportional to 2,014.05, 3,020.72 and 552.85

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Solution

The fourth proportional to 2,014.05, 3,020.72 and 552.85 is: 829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.05 : 3,020.72 = 552.85 : x
  2. Step 2: Convert to fraction form
    2,014.05/3,020.72 = 552.85/x
  3. Step 3: Cross multiply
    2,014.05x = 3,020.72 × 552.85
  4. Step 4: Simplify right side
    2,014.05x = 1,670,005.05
  5. Step 5: Solve for x
    x = 1,670,005.05/2,014.05
  6. Step 6: Final answer
    x = 829.18

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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.