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Finding the Fourth Proportional to 1,581.71, 2,372.69 and 541.28

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Solution

The fourth proportional to 1,581.71, 2,372.69 and 541.28 is: 811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.71 : 2,372.69 = 541.28 : x
  2. Step 2: Convert to fraction form
    1,581.71/2,372.69 = 541.28/x
  3. Step 3: Cross multiply
    1,581.71x = 2,372.69 × 541.28
  4. Step 4: Simplify right side
    1,581.71x = 1,284,292.87
  5. Step 5: Solve for x
    x = 1,284,292.87/1,581.71
  6. Step 6: Final answer
    x = 811.97

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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.