Home / 1,584.22-2,376.25-488.45

Finding the Fourth Proportional to 1,584.22, 2,376.25 and 488.45

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Solution

The fourth proportional to 1,584.22, 2,376.25 and 488.45 is: 732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.22 : 2,376.25 = 488.45 : x
  2. Step 2: Convert to fraction form
    1,584.22/2,376.25 = 488.45/x
  3. Step 3: Cross multiply
    1,584.22x = 2,376.25 × 488.45
  4. Step 4: Simplify right side
    1,584.22x = 1,160,679.31
  5. Step 5: Solve for x
    x = 1,160,679.31/1,584.22
  6. Step 6: Final answer
    x = 732.65

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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.