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Finding the Fourth Proportional to 1,965.50, 2,712.40 and 1,266.90

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Solution

The fourth proportional to 1,965.50, 2,712.40 and 1,266.90 is: 1,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.50 : 2,712.40 = 1,266.90 : x
  2. Step 2: Convert to fraction form
    1,965.50/2,712.40 = 1,266.90/x
  3. Step 3: Cross multiply
    1,965.50x = 2,712.40 × 1,266.90
  4. Step 4: Simplify right side
    1,965.50x = 3,436,339.56
  5. Step 5: Solve for x
    x = 3,436,339.56/1,965.50
  6. Step 6: Final answer
    x = 1,748.33

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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.