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Finding the Fourth Proportional to 1,892.84, 2,612.49 and 1,096.29

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Solution

The fourth proportional to 1,892.84, 2,612.49 and 1,096.29 is: 1,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.84 : 2,612.49 = 1,096.29 : x
  2. Step 2: Convert to fraction form
    1,892.84/2,612.49 = 1,096.29/x
  3. Step 3: Cross multiply
    1,892.84x = 2,612.49 × 1,096.29
  4. Step 4: Simplify right side
    1,892.84x = 2,864,053.62
  5. Step 5: Solve for x
    x = 2,864,053.62/1,892.84
  6. Step 6: Final answer
    x = 1,513.10

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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.