Home / 2,984.16-4,472-1,524.32

Finding the Fourth Proportional to 2,984.16, 4,472 and 1,524.32

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Solution

The fourth proportional to 2,984.16, 4,472 and 1,524.32 is: 2,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.16 : 4,472 = 1,524.32 : x
  2. Step 2: Convert to fraction form
    2,984.16/4,472 = 1,524.32/x
  3. Step 3: Cross multiply
    2,984.16x = 4,472 × 1,524.32
  4. Step 4: Simplify right side
    2,984.16x = 6,816,759.04
  5. Step 5: Solve for x
    x = 6,816,759.04/2,984.16
  6. Step 6: Final answer
    x = 2,284.31

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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.