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Finding the Fourth Proportional to 1,371.84, 1,892.52 and 998.12

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Solution

The fourth proportional to 1,371.84, 1,892.52 and 998.12 is: 1,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.84 : 1,892.52 = 998.12 : x
  2. Step 2: Convert to fraction form
    1,371.84/1,892.52 = 998.12/x
  3. Step 3: Cross multiply
    1,371.84x = 1,892.52 × 998.12
  4. Step 4: Simplify right side
    1,371.84x = 1,888,962.06
  5. Step 5: Solve for x
    x = 1,888,962.06/1,371.84
  6. Step 6: Final answer
    x = 1,376.96

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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.