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Finding the Fourth Proportional to 2,014.83, 3,016.31 and 1,965.15

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Solution

The fourth proportional to 2,014.83, 3,016.31 and 1,965.15 is: 2,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.83 : 3,016.31 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    2,014.83/3,016.31 = 1,965.15/x
  3. Step 3: Cross multiply
    2,014.83x = 3,016.31 × 1,965.15
  4. Step 4: Simplify right side
    2,014.83x = 5,927,491.77
  5. Step 5: Solve for x
    x = 5,927,491.77/2,014.83
  6. Step 6: Final answer
    x = 2,941.93

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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.