Home / 2,287.26-3,432.62-1,584.07

Finding the Fourth Proportional to 2,287.26, 3,432.62 and 1,584.07

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Solution

The fourth proportional to 2,287.26, 3,432.62 and 1,584.07 is: 2,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.26 : 3,432.62 = 1,584.07 : x
  2. Step 2: Convert to fraction form
    2,287.26/3,432.62 = 1,584.07/x
  3. Step 3: Cross multiply
    2,287.26x = 3,432.62 × 1,584.07
  4. Step 4: Simplify right side
    2,287.26x = 5,437,528.02
  5. Step 5: Solve for x
    x = 5,437,528.02/2,287.26
  6. Step 6: Final answer
    x = 2,377.31

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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.