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Finding the Fourth Proportional to 1,892.84, 2,823.73 and 1,760.27

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Solution

The fourth proportional to 1,892.84, 2,823.73 and 1,760.27 is: 2,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.84 : 2,823.73 = 1,760.27 : x
  2. Step 2: Convert to fraction form
    1,892.84/2,823.73 = 1,760.27/x
  3. Step 3: Cross multiply
    1,892.84x = 2,823.73 × 1,760.27
  4. Step 4: Simplify right side
    1,892.84x = 4,970,508.69
  5. Step 5: Solve for x
    x = 4,970,508.69/1,892.84
  6. Step 6: Final answer
    x = 2,625.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.