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Finding the Fourth Proportional to 2,072.32, 3,108.52 and 611.52

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Solution

The fourth proportional to 2,072.32, 3,108.52 and 611.52 is: 917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.32 : 3,108.52 = 611.52 : x
  2. Step 2: Convert to fraction form
    2,072.32/3,108.52 = 611.52/x
  3. Step 3: Cross multiply
    2,072.32x = 3,108.52 × 611.52
  4. Step 4: Simplify right side
    2,072.32x = 1,900,922.15
  5. Step 5: Solve for x
    x = 1,900,922.15/2,072.32
  6. Step 6: Final answer
    x = 917.29

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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.