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Finding the Fourth Proportional to 1,581.27, 2,372.18 and 541.02

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Solution

The fourth proportional to 1,581.27, 2,372.18 and 541.02 is: 811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.27 : 2,372.18 = 541.02 : x
  2. Step 2: Convert to fraction form
    1,581.27/2,372.18 = 541.02/x
  3. Step 3: Cross multiply
    1,581.27x = 2,372.18 × 541.02
  4. Step 4: Simplify right side
    1,581.27x = 1,283,394.12
  5. Step 5: Solve for x
    x = 1,283,394.12/1,581.27
  6. Step 6: Final answer
    x = 811.62

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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.