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Finding the Fourth Proportional to 2,111.80, 3,166.12 and 1,015.12

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Solution

The fourth proportional to 2,111.80, 3,166.12 and 1,015.12 is: 1,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.80 : 3,166.12 = 1,015.12 : x
  2. Step 2: Convert to fraction form
    2,111.80/3,166.12 = 1,015.12/x
  3. Step 3: Cross multiply
    2,111.80x = 3,166.12 × 1,015.12
  4. Step 4: Simplify right side
    2,111.80x = 3,213,991.73
  5. Step 5: Solve for x
    x = 3,213,991.73/2,111.80
  6. Step 6: Final answer
    x = 1,521.92

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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.