Home / 1,581.90-2,372.88-543.09

Finding the Fourth Proportional to 1,581.90, 2,372.88 and 543.09

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Solution

The fourth proportional to 1,581.90, 2,372.88 and 543.09 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.90 : 2,372.88 = 543.09 : x
  2. Step 2: Convert to fraction form
    1,581.90/2,372.88 = 543.09/x
  3. Step 3: Cross multiply
    1,581.90x = 2,372.88 × 543.09
  4. Step 4: Simplify right side
    1,581.90x = 1,288,695.28
  5. Step 5: Solve for x
    x = 1,288,695.28/1,581.90
  6. Step 6: Final answer
    x = 814.65

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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.