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Finding the Fourth Proportional to 3,384.92, 4,671.18 and 1,892.80

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Solution

The fourth proportional to 3,384.92, 4,671.18 and 1,892.80 is: 2,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.92 : 4,671.18 = 1,892.80 : x
  2. Step 2: Convert to fraction form
    3,384.92/4,671.18 = 1,892.80/x
  3. Step 3: Cross multiply
    3,384.92x = 4,671.18 × 1,892.80
  4. Step 4: Simplify right side
    3,384.92x = 8,841,609.50
  5. Step 5: Solve for x
    x = 8,841,609.50/3,384.92
  6. Step 6: Final answer
    x = 2,612.06

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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.