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Finding the Fourth Proportional to 2,892.84, 3,990.69 and 1,898.43

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Solution

The fourth proportional to 2,892.84, 3,990.69 and 1,898.43 is: 2,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.84 : 3,990.69 = 1,898.43 : x
  2. Step 2: Convert to fraction form
    2,892.84/3,990.69 = 1,898.43/x
  3. Step 3: Cross multiply
    2,892.84x = 3,990.69 × 1,898.43
  4. Step 4: Simplify right side
    2,892.84x = 7,576,045.62
  5. Step 5: Solve for x
    x = 7,576,045.62/2,892.84
  6. Step 6: Final answer
    x = 2,618.90

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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.