Home / 2,282.08-3,418.52-2,164

Finding the Fourth Proportional to 2,282.08, 3,418.52 and 2,164

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Solution

The fourth proportional to 2,282.08, 3,418.52 and 2,164 is: 3,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.08 : 3,418.52 = 2,164 : x
  2. Step 2: Convert to fraction form
    2,282.08/3,418.52 = 2,164/x
  3. Step 3: Cross multiply
    2,282.08x = 3,418.52 × 2,164
  4. Step 4: Simplify right side
    2,282.08x = 7,397,677.28
  5. Step 5: Solve for x
    x = 7,397,677.28/2,282.08
  6. Step 6: Final answer
    x = 3,241.64

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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.