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Finding the Fourth Proportional to 2,285.58, 3,428.49 and 641.99

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Solution

The fourth proportional to 2,285.58, 3,428.49 and 641.99 is: 963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.58 : 3,428.49 = 641.99 : x
  2. Step 2: Convert to fraction form
    2,285.58/3,428.49 = 641.99/x
  3. Step 3: Cross multiply
    2,285.58x = 3,428.49 × 641.99
  4. Step 4: Simplify right side
    2,285.58x = 2,201,064.87
  5. Step 5: Solve for x
    x = 2,201,064.87/2,285.58
  6. Step 6: Final answer
    x = 963.02

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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.