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Finding the Fourth Proportional to 1,965.31, 2,712.12 and 1,081.11

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Solution

The fourth proportional to 1,965.31, 2,712.12 and 1,081.11 is: 1,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.31 : 2,712.12 = 1,081.11 : x
  2. Step 2: Convert to fraction form
    1,965.31/2,712.12 = 1,081.11/x
  3. Step 3: Cross multiply
    1,965.31x = 2,712.12 × 1,081.11
  4. Step 4: Simplify right side
    1,965.31x = 2,932,102.76
  5. Step 5: Solve for x
    x = 2,932,102.76/1,965.31
  6. Step 6: Final answer
    x = 1,491.93

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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.