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Finding the Fourth Proportional to 1,816.70, 2,725.37 and 584.11

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Solution

The fourth proportional to 1,816.70, 2,725.37 and 584.11 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.70 : 2,725.37 = 584.11 : x
  2. Step 2: Convert to fraction form
    1,816.70/2,725.37 = 584.11/x
  3. Step 3: Cross multiply
    1,816.70x = 2,725.37 × 584.11
  4. Step 4: Simplify right side
    1,816.70x = 1,591,910.52
  5. Step 5: Solve for x
    x = 1,591,910.52/1,816.70
  6. Step 6: Final answer
    x = 876.27

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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.