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Finding the Fourth Proportional to 3,312.41, 4,968.02 and 1,337.97

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Solution

The fourth proportional to 3,312.41, 4,968.02 and 1,337.97 is: 2,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.41 : 4,968.02 = 1,337.97 : x
  2. Step 2: Convert to fraction form
    3,312.41/4,968.02 = 1,337.97/x
  3. Step 3: Cross multiply
    3,312.41x = 4,968.02 × 1,337.97
  4. Step 4: Simplify right side
    3,312.41x = 6,647,048.22
  5. Step 5: Solve for x
    x = 6,647,048.22/3,312.41
  6. Step 6: Final answer
    x = 2,006.71

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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.