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Finding the Fourth Proportional to 2,285.89, 3,428.97 and 642.56

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Solution

The fourth proportional to 2,285.89, 3,428.97 and 642.56 is: 963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.89 : 3,428.97 = 642.56 : x
  2. Step 2: Convert to fraction form
    2,285.89/3,428.97 = 642.56/x
  3. Step 3: Cross multiply
    2,285.89x = 3,428.97 × 642.56
  4. Step 4: Simplify right side
    2,285.89x = 2,203,315.75
  5. Step 5: Solve for x
    x = 2,203,315.75/2,285.89
  6. Step 6: Final answer
    x = 963.88

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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.