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Finding the Fourth Proportional to 3,384.43, 4,670.20 and 1,892.14

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Solution

The fourth proportional to 3,384.43, 4,670.20 and 1,892.14 is: 2,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.43 : 4,670.20 = 1,892.14 : x
  2. Step 2: Convert to fraction form
    3,384.43/4,670.20 = 1,892.14/x
  3. Step 3: Cross multiply
    3,384.43x = 4,670.20 × 1,892.14
  4. Step 4: Simplify right side
    3,384.43x = 8,836,662.77
  5. Step 5: Solve for x
    x = 8,836,662.77/3,384.43
  6. Step 6: Final answer
    x = 2,610.98

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