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Finding the Fourth Proportional to 2,190.68, 3,285.97 and 547.19

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Solution

The fourth proportional to 2,190.68, 3,285.97 and 547.19 is: 820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.68 : 3,285.97 = 547.19 : x
  2. Step 2: Convert to fraction form
    2,190.68/3,285.97 = 547.19/x
  3. Step 3: Cross multiply
    2,190.68x = 3,285.97 × 547.19
  4. Step 4: Simplify right side
    2,190.68x = 1,798,044.45
  5. Step 5: Solve for x
    x = 1,798,044.45/2,190.68
  6. Step 6: Final answer
    x = 820.77

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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.