Home / 1,584.16-2,376.44-488.43

Finding the Fourth Proportional to 1,584.16, 2,376.44 and 488.43

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Solution

The fourth proportional to 1,584.16, 2,376.44 and 488.43 is: 732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.16 : 2,376.44 = 488.43 : x
  2. Step 2: Convert to fraction form
    1,584.16/2,376.44 = 488.43/x
  3. Step 3: Cross multiply
    1,584.16x = 2,376.44 × 488.43
  4. Step 4: Simplify right side
    1,584.16x = 1,160,723.98
  5. Step 5: Solve for x
    x = 1,160,723.98/1,584.16
  6. Step 6: Final answer
    x = 732.71

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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.