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Finding the Fourth Proportional to 1,817.39, 2,725.46 and 584.48

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Solution

The fourth proportional to 1,817.39, 2,725.46 and 584.48 is: 876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.39 : 2,725.46 = 584.48 : x
  2. Step 2: Convert to fraction form
    1,817.39/2,725.46 = 584.48/x
  3. Step 3: Cross multiply
    1,817.39x = 2,725.46 × 584.48
  4. Step 4: Simplify right side
    1,817.39x = 1,592,986.23
  5. Step 5: Solve for x
    x = 1,592,986.23/1,817.39
  6. Step 6: Final answer
    x = 876.53

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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.