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Finding the Fourth Proportional to 2,407.50, 3,611.76 and 764.17

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Solution

The fourth proportional to 2,407.50, 3,611.76 and 764.17 is: 1,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.50 : 3,611.76 = 764.17 : x
  2. Step 2: Convert to fraction form
    2,407.50/3,611.76 = 764.17/x
  3. Step 3: Cross multiply
    2,407.50x = 3,611.76 × 764.17
  4. Step 4: Simplify right side
    2,407.50x = 2,759,998.64
  5. Step 5: Solve for x
    x = 2,759,998.64/2,407.50
  6. Step 6: Final answer
    x = 1,146.42

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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.