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Finding the Fourth Proportional to 1,965.34, 2,712.11 and 1,081.12

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Solution

The fourth proportional to 1,965.34, 2,712.11 and 1,081.12 is: 1,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.34 : 2,712.11 = 1,081.12 : x
  2. Step 2: Convert to fraction form
    1,965.34/2,712.11 = 1,081.12/x
  3. Step 3: Cross multiply
    1,965.34x = 2,712.11 × 1,081.12
  4. Step 4: Simplify right side
    1,965.34x = 2,932,116.36
  5. Step 5: Solve for x
    x = 2,932,116.36/1,965.34
  6. Step 6: Final answer
    x = 1,491.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.