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Finding the Fourth Proportional to 2,310.48, 3,466.32 and 849.64

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Solution

The fourth proportional to 2,310.48, 3,466.32 and 849.64 is: 1,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.48 : 3,466.32 = 849.64 : x
  2. Step 2: Convert to fraction form
    2,310.48/3,466.32 = 849.64/x
  3. Step 3: Cross multiply
    2,310.48x = 3,466.32 × 849.64
  4. Step 4: Simplify right side
    2,310.48x = 2,945,124.12
  5. Step 5: Solve for x
    x = 2,945,124.12/2,310.48
  6. Step 6: Final answer
    x = 1,274.68

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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.