Home / 1,584.86-2,377.27-610.28

Finding the Fourth Proportional to 1,584.86, 2,377.27 and 610.28

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Solution

The fourth proportional to 1,584.86, 2,377.27 and 610.28 is: 915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.86 : 2,377.27 = 610.28 : x
  2. Step 2: Convert to fraction form
    1,584.86/2,377.27 = 610.28/x
  3. Step 3: Cross multiply
    1,584.86x = 2,377.27 × 610.28
  4. Step 4: Simplify right side
    1,584.86x = 1,450,800.34
  5. Step 5: Solve for x
    x = 1,450,800.34/1,584.86
  6. Step 6: Final answer
    x = 915.41

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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.