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Finding the Fourth Proportional to 2,310.67, 3,467.40 and 849.70

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Solution

The fourth proportional to 2,310.67, 3,467.40 and 849.70 is: 1,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.67 : 3,467.40 = 849.70 : x
  2. Step 2: Convert to fraction form
    2,310.67/3,467.40 = 849.70/x
  3. Step 3: Cross multiply
    2,310.67x = 3,467.40 × 849.70
  4. Step 4: Simplify right side
    2,310.67x = 2,946,249.78
  5. Step 5: Solve for x
    x = 2,946,249.78/2,310.67
  6. Step 6: Final answer
    x = 1,275.06

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