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Finding the Fourth Proportional to 4,611.41, 6,917.09 and 1,148.66

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Solution

The fourth proportional to 4,611.41, 6,917.09 and 1,148.66 is: 1,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.41 : 6,917.09 = 1,148.66 : x
  2. Step 2: Convert to fraction form
    4,611.41/6,917.09 = 1,148.66/x
  3. Step 3: Cross multiply
    4,611.41x = 6,917.09 × 1,148.66
  4. Step 4: Simplify right side
    4,611.41x = 7,945,352.89
  5. Step 5: Solve for x
    x = 7,945,352.89/4,611.41
  6. Step 6: Final answer
    x = 1,722.98

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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.