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Finding the Fourth Proportional to 1,611.12, 2,419.66 and 965.82

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Solution

The fourth proportional to 1,611.12, 2,419.66 and 965.82 is: 1,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.12 : 2,419.66 = 965.82 : x
  2. Step 2: Convert to fraction form
    1,611.12/2,419.66 = 965.82/x
  3. Step 3: Cross multiply
    1,611.12x = 2,419.66 × 965.82
  4. Step 4: Simplify right side
    1,611.12x = 2,336,956.02
  5. Step 5: Solve for x
    x = 2,336,956.02/1,611.12
  6. Step 6: Final answer
    x = 1,450.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.