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Finding the Fourth Proportional to 2,285.30, 3,428.17 and 641.84

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Solution

The fourth proportional to 2,285.30, 3,428.17 and 641.84 is: 962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.30 : 3,428.17 = 641.84 : x
  2. Step 2: Convert to fraction form
    2,285.30/3,428.17 = 641.84/x
  3. Step 3: Cross multiply
    2,285.30x = 3,428.17 × 641.84
  4. Step 4: Simplify right side
    2,285.30x = 2,200,336.63
  5. Step 5: Solve for x
    x = 2,200,336.63/2,285.30
  6. Step 6: Final answer
    x = 962.82

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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.