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Finding the Fourth Proportional to 2,086.61, 3,116.00 and 1,965.11

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Solution

The fourth proportional to 2,086.61, 3,116.00 and 1,965.11 is: 2,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.61 : 3,116.00 = 1,965.11 : x
  2. Step 2: Convert to fraction form
    2,086.61/3,116.00 = 1,965.11/x
  3. Step 3: Cross multiply
    2,086.61x = 3,116.00 × 1,965.11
  4. Step 4: Simplify right side
    2,086.61x = 6,123,272.09
  5. Step 5: Solve for x
    x = 6,123,272.09/2,086.61
  6. Step 6: Final answer
    x = 2,934.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.