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Finding the Fourth Proportional to 2,908.40, 4,014.02 and 1,965.56

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Solution

The fourth proportional to 2,908.40, 4,014.02 and 1,965.56 is: 2,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.40 : 4,014.02 = 1,965.56 : x
  2. Step 2: Convert to fraction form
    2,908.40/4,014.02 = 1,965.56/x
  3. Step 3: Cross multiply
    2,908.40x = 4,014.02 × 1,965.56
  4. Step 4: Simplify right side
    2,908.40x = 7,889,781.99
  5. Step 5: Solve for x
    x = 7,889,781.99/2,908.40
  6. Step 6: Final answer
    x = 2,712.76

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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.