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Finding the Fourth Proportional to 1,581.11, 2,371.72 and 541.07

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Solution

The fourth proportional to 1,581.11, 2,371.72 and 541.07 is: 811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.11 : 2,371.72 = 541.07 : x
  2. Step 2: Convert to fraction form
    1,581.11/2,371.72 = 541.07/x
  3. Step 3: Cross multiply
    1,581.11x = 2,371.72 × 541.07
  4. Step 4: Simplify right side
    1,581.11x = 1,283,263.84
  5. Step 5: Solve for x
    x = 1,283,263.84/1,581.11
  6. Step 6: Final answer
    x = 811.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.