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Finding the Fourth Proportional to 1,581.88, 2,372.82 and 411.88

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Solution

The fourth proportional to 1,581.88, 2,372.82 and 411.88 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.88 : 2,372.82 = 411.88 : x
  2. Step 2: Convert to fraction form
    1,581.88/2,372.82 = 411.88/x
  3. Step 3: Cross multiply
    1,581.88x = 2,372.82 × 411.88
  4. Step 4: Simplify right side
    1,581.88x = 977,308.96
  5. Step 5: Solve for x
    x = 977,308.96/1,581.88
  6. Step 6: Final answer
    x = 617.82

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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.