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Finding the Fourth Proportional to 1,611.45, 2,418.35 and 734.94

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Solution

The fourth proportional to 1,611.45, 2,418.35 and 734.94 is: 1,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.45 : 2,418.35 = 734.94 : x
  2. Step 2: Convert to fraction form
    1,611.45/2,418.35 = 734.94/x
  3. Step 3: Cross multiply
    1,611.45x = 2,418.35 × 734.94
  4. Step 4: Simplify right side
    1,611.45x = 1,777,342.15
  5. Step 5: Solve for x
    x = 1,777,342.15/1,611.45
  6. Step 6: Final answer
    x = 1,102.95

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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.