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Finding the Fourth Proportional to 1,581.38, 2,372.06 and 540.88

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Solution

The fourth proportional to 1,581.38, 2,372.06 and 540.88 is: 811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.38 : 2,372.06 = 540.88 : x
  2. Step 2: Convert to fraction form
    1,581.38/2,372.06 = 540.88/x
  3. Step 3: Cross multiply
    1,581.38x = 2,372.06 × 540.88
  4. Step 4: Simplify right side
    1,581.38x = 1,282,999.81
  5. Step 5: Solve for x
    x = 1,282,999.81/1,581.38
  6. Step 6: Final answer
    x = 811.32

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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.