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Finding the Fourth Proportional to 2,343.63, 3,234.21 and 1,349.10

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Solution

The fourth proportional to 2,343.63, 3,234.21 and 1,349.10 is: 1,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.63 : 3,234.21 = 1,349.10 : x
  2. Step 2: Convert to fraction form
    2,343.63/3,234.21 = 1,349.10/x
  3. Step 3: Cross multiply
    2,343.63x = 3,234.21 × 1,349.10
  4. Step 4: Simplify right side
    2,343.63x = 4,363,267.65
  5. Step 5: Solve for x
    x = 4,363,267.65/2,343.63
  6. Step 6: Final answer
    x = 1,861.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.