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Finding the Fourth Proportional to 1,966.70, 2,711.67 and 1,441.82

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Solution

The fourth proportional to 1,966.70, 2,711.67 and 1,441.82 is: 1,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.70 : 2,711.67 = 1,441.82 : x
  2. Step 2: Convert to fraction form
    1,966.70/2,711.67 = 1,441.82/x
  3. Step 3: Cross multiply
    1,966.70x = 2,711.67 × 1,441.82
  4. Step 4: Simplify right side
    1,966.70x = 3,909,740.04
  5. Step 5: Solve for x
    x = 3,909,740.04/1,966.70
  6. Step 6: Final answer
    x = 1,987.97

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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.