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Finding the Fourth Proportional to 1,817.82, 2,725.37 and 584.53

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Solution

The fourth proportional to 1,817.82, 2,725.37 and 584.53 is: 876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.82 : 2,725.37 = 584.53 : x
  2. Step 2: Convert to fraction form
    1,817.82/2,725.37 = 584.53/x
  3. Step 3: Cross multiply
    1,817.82x = 2,725.37 × 584.53
  4. Step 4: Simplify right side
    1,817.82x = 1,593,050.79
  5. Step 5: Solve for x
    x = 1,593,050.79/1,817.82
  6. Step 6: Final answer
    x = 876.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.