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Finding the Fourth Proportional to 1,965.50, 2,711.91 and 1,328.62

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Solution

The fourth proportional to 1,965.50, 2,711.91 and 1,328.62 is: 1,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.50 : 2,711.91 = 1,328.62 : x
  2. Step 2: Convert to fraction form
    1,965.50/2,711.91 = 1,328.62/x
  3. Step 3: Cross multiply
    1,965.50x = 2,711.91 × 1,328.62
  4. Step 4: Simplify right side
    1,965.50x = 3,603,109.63
  5. Step 5: Solve for x
    x = 3,603,109.63/1,965.50
  6. Step 6: Final answer
    x = 1,833.18

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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.