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Finding the Fourth Proportional to 3,143.84, 4,338.52 and 1,965.60

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Solution

The fourth proportional to 3,143.84, 4,338.52 and 1,965.60 is: 2,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.84 : 4,338.52 = 1,965.60 : x
  2. Step 2: Convert to fraction form
    3,143.84/4,338.52 = 1,965.60/x
  3. Step 3: Cross multiply
    3,143.84x = 4,338.52 × 1,965.60
  4. Step 4: Simplify right side
    3,143.84x = 8,527,794.91
  5. Step 5: Solve for x
    x = 8,527,794.91/3,143.84
  6. Step 6: Final answer
    x = 2,712.54

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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.