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Finding the Fourth Proportional to 1,581.50, 2,371.72 and 541.24

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Solution

The fourth proportional to 1,581.50, 2,371.72 and 541.24 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.50 : 2,371.72 = 541.24 : x
  2. Step 2: Convert to fraction form
    1,581.50/2,371.72 = 541.24/x
  3. Step 3: Cross multiply
    1,581.50x = 2,371.72 × 541.24
  4. Step 4: Simplify right side
    1,581.50x = 1,283,669.73
  5. Step 5: Solve for x
    x = 1,283,669.73/1,581.50
  6. Step 6: Final answer
    x = 811.68

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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.