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Finding the Fourth Proportional to 2,273.02, 3,409.51 and 584.41

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Solution

The fourth proportional to 2,273.02, 3,409.51 and 584.41 is: 876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.02 : 3,409.51 = 584.41 : x
  2. Step 2: Convert to fraction form
    2,273.02/3,409.51 = 584.41/x
  3. Step 3: Cross multiply
    2,273.02x = 3,409.51 × 584.41
  4. Step 4: Simplify right side
    2,273.02x = 1,992,553.08
  5. Step 5: Solve for x
    x = 1,992,553.08/2,273.02
  6. Step 6: Final answer
    x = 876.61

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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.