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Finding the Fourth Proportional to 2,107.85, 3,161.76 and 547.85

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Solution

The fourth proportional to 2,107.85, 3,161.76 and 547.85 is: 821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.85 : 3,161.76 = 547.85 : x
  2. Step 2: Convert to fraction form
    2,107.85/3,161.76 = 547.85/x
  3. Step 3: Cross multiply
    2,107.85x = 3,161.76 × 547.85
  4. Step 4: Simplify right side
    2,107.85x = 1,732,170.22
  5. Step 5: Solve for x
    x = 1,732,170.22/2,107.85
  6. Step 6: Final answer
    x = 821.77

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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.