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Finding the Fourth Proportional to 2,965.14, 4,446.84 and 1,114.92

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Solution

The fourth proportional to 2,965.14, 4,446.84 and 1,114.92 is: 1,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.14 : 4,446.84 = 1,114.92 : x
  2. Step 2: Convert to fraction form
    2,965.14/4,446.84 = 1,114.92/x
  3. Step 3: Cross multiply
    2,965.14x = 4,446.84 × 1,114.92
  4. Step 4: Simplify right side
    2,965.14x = 4,957,870.85
  5. Step 5: Solve for x
    x = 4,957,870.85/2,965.14
  6. Step 6: Final answer
    x = 1,672.05

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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.