Home / 2,552.46-3,828.33-1,584.78

Finding the Fourth Proportional to 2,552.46, 3,828.33 and 1,584.78

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Solution

The fourth proportional to 2,552.46, 3,828.33 and 1,584.78 is: 2,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.46 : 3,828.33 = 1,584.78 : x
  2. Step 2: Convert to fraction form
    2,552.46/3,828.33 = 1,584.78/x
  3. Step 3: Cross multiply
    2,552.46x = 3,828.33 × 1,584.78
  4. Step 4: Simplify right side
    2,552.46x = 6,067,060.82
  5. Step 5: Solve for x
    x = 6,067,060.82/2,552.46
  6. Step 6: Final answer
    x = 2,376.95

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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.