Home / 1,584.62-2,377.26-544.58

Finding the Fourth Proportional to 1,584.62, 2,377.26 and 544.58

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Solution

The fourth proportional to 1,584.62, 2,377.26 and 544.58 is: 816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.62 : 2,377.26 = 544.58 : x
  2. Step 2: Convert to fraction form
    1,584.62/2,377.26 = 544.58/x
  3. Step 3: Cross multiply
    1,584.62x = 2,377.26 × 544.58
  4. Step 4: Simplify right side
    1,584.62x = 1,294,608.25
  5. Step 5: Solve for x
    x = 1,294,608.25/1,584.62
  6. Step 6: Final answer
    x = 816.98

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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.