Home / 1,982.22-2,972.28-1,103.40

Finding the Fourth Proportional to 1,982.22, 2,972.28 and 1,103.40

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Solution

The fourth proportional to 1,982.22, 2,972.28 and 1,103.40 is: 1,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.22 : 2,972.28 = 1,103.40 : x
  2. Step 2: Convert to fraction form
    1,982.22/2,972.28 = 1,103.40/x
  3. Step 3: Cross multiply
    1,982.22x = 2,972.28 × 1,103.40
  4. Step 4: Simplify right side
    1,982.22x = 3,279,613.75
  5. Step 5: Solve for x
    x = 3,279,613.75/1,982.22
  6. Step 6: Final answer
    x = 1,654.52

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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.