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Finding the Fourth Proportional to 1,611.44, 2,416.71 and 1,351.57

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Solution

The fourth proportional to 1,611.44, 2,416.71 and 1,351.57 is: 2,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.44 : 2,416.71 = 1,351.57 : x
  2. Step 2: Convert to fraction form
    1,611.44/2,416.71 = 1,351.57/x
  3. Step 3: Cross multiply
    1,611.44x = 2,416.71 × 1,351.57
  4. Step 4: Simplify right side
    1,611.44x = 3,266,346.69
  5. Step 5: Solve for x
    x = 3,266,346.69/1,611.44
  6. Step 6: Final answer
    x = 2,026.98

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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.