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Finding the Fourth Proportional to 3,384.39, 4,670.67 and 1,892.51

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Solution

The fourth proportional to 3,384.39, 4,670.67 and 1,892.51 is: 2,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.39 : 4,670.67 = 1,892.51 : x
  2. Step 2: Convert to fraction form
    3,384.39/4,670.67 = 1,892.51/x
  3. Step 3: Cross multiply
    3,384.39x = 4,670.67 × 1,892.51
  4. Step 4: Simplify right side
    3,384.39x = 8,839,266.33
  5. Step 5: Solve for x
    x = 8,839,266.33/3,384.39
  6. Step 6: Final answer
    x = 2,611.78

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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.