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Finding the Fourth Proportional to 1,965.48, 2,711.52 and 1,665.45

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Solution

The fourth proportional to 1,965.48, 2,711.52 and 1,665.45 is: 2,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.48 : 2,711.52 = 1,665.45 : x
  2. Step 2: Convert to fraction form
    1,965.48/2,711.52 = 1,665.45/x
  3. Step 3: Cross multiply
    1,965.48x = 2,711.52 × 1,665.45
  4. Step 4: Simplify right side
    1,965.48x = 4,515,900.98
  5. Step 5: Solve for x
    x = 4,515,900.98/1,965.48
  6. Step 6: Final answer
    x = 2,297.61

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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.