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Finding the Fourth Proportional to 2,407.44, 3,611.64 and 764.40

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Solution

The fourth proportional to 2,407.44, 3,611.64 and 764.40 is: 1,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.44 : 3,611.64 = 764.40 : x
  2. Step 2: Convert to fraction form
    2,407.44/3,611.64 = 764.40/x
  3. Step 3: Cross multiply
    2,407.44x = 3,611.64 × 764.40
  4. Step 4: Simplify right side
    2,407.44x = 2,760,737.62
  5. Step 5: Solve for x
    x = 2,760,737.62/2,407.44
  6. Step 6: Final answer
    x = 1,146.75

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Why These Related Problems?

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