Home / 1,584.20-2,376.18-488.48

Finding the Fourth Proportional to 1,584.20, 2,376.18 and 488.48

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Solution

The fourth proportional to 1,584.20, 2,376.18 and 488.48 is: 732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.20 : 2,376.18 = 488.48 : x
  2. Step 2: Convert to fraction form
    1,584.20/2,376.18 = 488.48/x
  3. Step 3: Cross multiply
    1,584.20x = 2,376.18 × 488.48
  4. Step 4: Simplify right side
    1,584.20x = 1,160,716.41
  5. Step 5: Solve for x
    x = 1,160,716.41/1,584.20
  6. Step 6: Final answer
    x = 732.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.