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Finding the Fourth Proportional to 2,411.54, 3,327.70 and 1,349.25

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Solution

The fourth proportional to 2,411.54, 3,327.70 and 1,349.25 is: 1,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.54 : 3,327.70 = 1,349.25 : x
  2. Step 2: Convert to fraction form
    2,411.54/3,327.70 = 1,349.25/x
  3. Step 3: Cross multiply
    2,411.54x = 3,327.70 × 1,349.25
  4. Step 4: Simplify right side
    2,411.54x = 4,489,899.23
  5. Step 5: Solve for x
    x = 4,489,899.23/2,411.54
  6. Step 6: Final answer
    x = 1,861.84

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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.