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Finding the Fourth Proportional to 4,609.41, 6,914.26 and 1,146.66

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Solution

The fourth proportional to 4,609.41, 6,914.26 and 1,146.66 is: 1,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.41 : 6,914.26 = 1,146.66 : x
  2. Step 2: Convert to fraction form
    4,609.41/6,914.26 = 1,146.66/x
  3. Step 3: Cross multiply
    4,609.41x = 6,914.26 × 1,146.66
  4. Step 4: Simplify right side
    4,609.41x = 7,928,280.88
  5. Step 5: Solve for x
    x = 7,928,280.88/4,609.41
  6. Step 6: Final answer
    x = 1,720.02

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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.