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Finding the Fourth Proportional to 2,072.18, 3,108.27 and 611.45

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Solution

The fourth proportional to 2,072.18, 3,108.27 and 611.45 is: 917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.18 : 3,108.27 = 611.45 : x
  2. Step 2: Convert to fraction form
    2,072.18/3,108.27 = 611.45/x
  3. Step 3: Cross multiply
    2,072.18x = 3,108.27 × 611.45
  4. Step 4: Simplify right side
    2,072.18x = 1,900,550.10
  5. Step 5: Solve for x
    x = 1,900,550.10/2,072.18
  6. Step 6: Final answer
    x = 917.17

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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.