Home / 1,584.52-2,377.38-610.39

Finding the Fourth Proportional to 1,584.52, 2,377.38 and 610.39

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Solution

The fourth proportional to 1,584.52, 2,377.38 and 610.39 is: 915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.52 : 2,377.38 = 610.39 : x
  2. Step 2: Convert to fraction form
    1,584.52/2,377.38 = 610.39/x
  3. Step 3: Cross multiply
    1,584.52x = 2,377.38 × 610.39
  4. Step 4: Simplify right side
    1,584.52x = 1,451,128.98
  5. Step 5: Solve for x
    x = 1,451,128.98/1,584.52
  6. Step 6: Final answer
    x = 915.82

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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.