Home / 1,584.18-2,376.46-488.24

Finding the Fourth Proportional to 1,584.18, 2,376.46 and 488.24

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Solution

The fourth proportional to 1,584.18, 2,376.46 and 488.24 is: 732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.18 : 2,376.46 = 488.24 : x
  2. Step 2: Convert to fraction form
    1,584.18/2,376.46 = 488.24/x
  3. Step 3: Cross multiply
    1,584.18x = 2,376.46 × 488.24
  4. Step 4: Simplify right side
    1,584.18x = 1,160,282.83
  5. Step 5: Solve for x
    x = 1,160,282.83/1,584.18
  6. Step 6: Final answer
    x = 732.42

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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.