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Finding the Fourth Proportional to 2,285.76, 3,428.84 and 642.32

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Solution

The fourth proportional to 2,285.76, 3,428.84 and 642.32 is: 963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.76 : 3,428.84 = 642.32 : x
  2. Step 2: Convert to fraction form
    2,285.76/3,428.84 = 642.32/x
  3. Step 3: Cross multiply
    2,285.76x = 3,428.84 × 642.32
  4. Step 4: Simplify right side
    2,285.76x = 2,202,422.69
  5. Step 5: Solve for x
    x = 2,202,422.69/2,285.76
  6. Step 6: Final answer
    x = 963.54

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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.