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Finding the Fourth Proportional to 3,384.46, 4,670.66 and 1,892.44

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Solution

The fourth proportional to 3,384.46, 4,670.66 and 1,892.44 is: 2,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.46 : 4,670.66 = 1,892.44 : x
  2. Step 2: Convert to fraction form
    3,384.46/4,670.66 = 1,892.44/x
  3. Step 3: Cross multiply
    3,384.46x = 4,670.66 × 1,892.44
  4. Step 4: Simplify right side
    3,384.46x = 8,838,943.81
  5. Step 5: Solve for x
    x = 8,838,943.81/3,384.46
  6. Step 6: Final answer
    x = 2,611.63

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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.